Here is the diagram:
What I am trying to accomplish, is create a route to the network in the  colored square from Router2.
On router 2, which I have telneted into, I am entering the following:
R2(config)#ip route 172.16.4.9 255.255.255.192 172.16.4.6
%Inconsistent address and mask
The routing table in R3 is as follows:
172.16.0.0/16 is variably subnetted, 2 subnets, 2 masks
C       172.16.4.4/30 is directly connected, FastEthernet0/1
C       172.16.4.64/26 is directly connected, FastEthernet0/0
S*   0.0.0.0/0 [1/0] via 172.16.4.5
I have entered :
R2(config)#ip classless
in both R2 and R3, so that cannot be the issue.
I am using 2811 routers, I'm not sure it that could be a factor or not.
Cisco IOS Software, 2800 Software (C2800NM-IPBASE-M), Version 12.3( 8 )  T5, RELEASE
Given that Router1 and Router2 are ok with the addresses subnetted using 255.255.255.252, it seems that
Router3 should be ok with 255.255.255.192 . . . . . .   I tried 255.255.255.252 just to see what would happen
and got the same message.  My quess is that it has something to do with the way R2 is subnetted . . . .  but
why that would be an issue escapes me.  It's likely either the router itself or a newby issue . . . 

I went back to R3, and found that the address on Fa0/1 was not listed correctly, so I did this:
R3(config-if)#int f0/1
R3(config-if)#ip address 172.16.4.6 255.255.255.252
R3(config-if)#no sh
R3(config-if)#int f0/0
R3(config-if)#ip address 172.16.4.9 255.255.255.192
% 172.16.4.0 overlaps with FastEthernet0/1
The network on Fa0/1 is 172.16.4.4, available addresses 172.16.4.5 and 172.16.4.6 with broadcast address
172.16.4.7.
The network for f0/0 should be 172.16.4.8, so I should be able to use 172.16.4.9 with the 255.255.255.192 mask I
would think!