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Finding the Fourth Proportional to 3,463.97, 5,193.06 and 1,614.13

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Solution

The fourth proportional to 3,463.97, 5,193.06 and 1,614.13 is: 2,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.97 : 5,193.06 = 1,614.13 : x
  2. Step 2: Convert to fraction form
    3,463.97/5,193.06 = 1,614.13/x
  3. Step 3: Cross multiply
    3,463.97x = 5,193.06 × 1,614.13
  4. Step 4: Simplify right side
    3,463.97x = 8,382,273.94
  5. Step 5: Solve for x
    x = 8,382,273.94/3,463.97
  6. Step 6: Final answer
    x = 2,419.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.