Let's denote the amount collected on Saturday as $x, the amount collected on Sunday as $y, and the amount collected on Monday as $z.
According to the given information, we have the following equations:
1) The sum of the amounts collected on each day is $6750:
x + y + z = 6750
2) The amount collected on Saturday is $1251 less than the amount collected on Sunday:
x = y - 1251
3) The amount collected on Sunday is 4 times the amount collected on Monday:
y = 4z
To find the amount collected on Sunday, we need to solve this system of equations.
From equation 3), we can substitute y with 4z in equation 2):
x = 4z - 1251
Now, we can substitute x and y in equation 1) with their respective values:
(4z - 1251) + y + z = 6750
Combining like terms:
5z - 1251 + 4z = 6750
9z - 1251 = 6750
9z = 8001
Dividing both sides by 9:
z = 889
Substituting z back into equation 3), we can find y:
y = 4 * 889
y = 3556
Therefore, the amount collected on Sunday was $3556.
\textbf{Answer: The amount collected on Sunday was $3556.}