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Finding the Fourth Proportional to 3,997.53, 5,517.11 and 2,882.16

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Solution

The fourth proportional to 3,997.53, 5,517.11 and 2,882.16 is: 3,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.53 : 5,517.11 = 2,882.16 : x
  2. Step 2: Convert to fraction form
    3,997.53/5,517.11 = 2,882.16/x
  3. Step 3: Cross multiply
    3,997.53x = 5,517.11 × 2,882.16
  4. Step 4: Simplify right side
    3,997.53x = 15,901,200.96
  5. Step 5: Solve for x
    x = 15,901,200.96/3,997.53
  6. Step 6: Final answer
    x = 3,977.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.