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Finding the Fourth Proportional to 3,836.80, 5,755.20 and 2,087.20

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Solution

The fourth proportional to 3,836.80, 5,755.20 and 2,087.20 is: 3,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.80 : 5,755.20 = 2,087.20 : x
  2. Step 2: Convert to fraction form
    3,836.80/5,755.20 = 2,087.20/x
  3. Step 3: Cross multiply
    3,836.80x = 5,755.20 × 2,087.20
  4. Step 4: Simplify right side
    3,836.80x = 12,012,253.44
  5. Step 5: Solve for x
    x = 12,012,253.44/3,836.80
  6. Step 6: Final answer
    x = 3,130.80

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