The uke employs "re-entrant" tuning. Unlike the usual banjo tuning or guitar-tuned four string instruments, the fourth string is an octave higher. This makes it more valuable
as a chordal instrument rather than a single-string instrument. There are some who play single-string lines on it but it doesn't carry unless it's amplified.

The EADG would work if it were on a tenor uke tuned an octave below a mandolin.
It might be required that the G string were tuned an octave higher like the conventional uke tuning, though.

Frank