The amazon river is 2962 miles longer than the snake river.
Explanation
Suppose, the amazon river is [tex]x[/tex] miles longer than the snake river.
As, the snake river in the northwestern united states is 1038 miles long, so the length of the amazon river in term of [tex]x[/tex] will be: [tex](1038+x)[/tex] miles.
Given that, the amazon river in south america is 4000 miles long. So, the equation will be ......
[tex]1038+x=4000\\ \\ x=4000-1038\\ \\ x=2962[/tex]
Thus, the amazon river is 2962 miles longer than the snake river.