What your excerpt of the logs shows is
A program that failed
An error
The program that caused the above error.
So we are not seeing the first error in the process.
The error that we do see is:
usr/bin/ld: cannot find -lqt-mt
This means that the compiler expected to find a file called "libqt-mt.*" somewhere.
On my FC3 32 bit install of fedora, I have it in
/usr/lib/qt-3.3/lib/libqt-mt.so
If you can't find the file with the command:
locate libqt-mt.so
You should goto
www.pbone.net and see which package in FC3 contains libqt-mt and install that package.
If you do have the file, you must figure out what path the configure is using to hunt for the file. As far as I know no experts on how to do this have some forth in the forum! Is the source code for this app one-size-fits-all for both 32 and 64 bit machines? If so, it may have trouble finding the 64 bit libraries. See if the configure script defines the PKG_CONFIG_PATH variable.
If you are in a hurry to get your app working, it would be better to post a message with the name of that app in the title - and mention it is a 64 bit version - since not everyone reads the forum title for the message. Maybe someone will tell you how to install it with yum.
(This may not fix the first error, which isn't shown.)