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Finding the Fourth Proportional to 3,683.68, 5,524.17 and 1,342.91

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Solution

The fourth proportional to 3,683.68, 5,524.17 and 1,342.91 is: 2,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.68 : 5,524.17 = 1,342.91 : x
  2. Step 2: Convert to fraction form
    3,683.68/5,524.17 = 1,342.91/x
  3. Step 3: Cross multiply
    3,683.68x = 5,524.17 × 1,342.91
  4. Step 4: Simplify right side
    3,683.68x = 7,418,471.91
  5. Step 5: Solve for x
    x = 7,418,471.91/3,683.68
  6. Step 6: Final answer
    x = 2,013.88

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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.