What is 4,567,083.2937 rounded to the nearest tenth?

The given number is
 4567083.2937.

To round this to the nearest
10th.

So we have th decide which is the tenths around
456083.2937.

 Obviously the  upper  tenth is 4567083.3 and
the lower tenth is

4567083.2. Which tenth is
near?

If we choose  4567083.3, then the distance  of this
number from the actual number on the number line is |4567083.3 - 4567083.2937| =
0.0063......(1)

If we choose the number 4567083.2, then the
distance of this number between the actual number on the number is  |4567083.2 -
4567083.2937| =0.0937.......(2)

So from (1) and (2) between
the two numbers , it is proved that 4567083.3 is nearer on the number
line.

If we chose any other number , the distance will
increase further. So we have to choose  the number 456083.3 as the nearest
tenth.