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Finding the Fourth Proportional to 3,807.91, 5,711.85 and 1,342.17

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Solution

The fourth proportional to 3,807.91, 5,711.85 and 1,342.17 is: 2,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.91 : 5,711.85 = 1,342.17 : x
  2. Step 2: Convert to fraction form
    3,807.91/5,711.85 = 1,342.17/x
  3. Step 3: Cross multiply
    3,807.91x = 5,711.85 × 1,342.17
  4. Step 4: Simplify right side
    3,807.91x = 7,666,273.71
  5. Step 5: Solve for x
    x = 7,666,273.71/3,807.91
  6. Step 6: Final answer
    x = 2,013.25

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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.