Final answer:
To round 82.684587348 to 4 decimal places, you can round up the fifth decimal place, resulting in 82.6846.
Step-by-step explanation:
To round 82.684587348 to 4 decimal places, we need to look at the digit in the fifth decimal place, which is 5.
Since the digit to the right of it is greater than 5, we round up the fifth decimal place.
Therefore, the number rounded to 4 decimal places is 82.6846.