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Finding the Fourth Proportional to 3,732.91, 5,145.67 and 3,135.13

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Solution

The fourth proportional to 3,732.91, 5,145.67 and 3,135.13 is: 4,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.91 : 5,145.67 = 3,135.13 : x
  2. Step 2: Convert to fraction form
    3,732.91/5,145.67 = 3,135.13/x
  3. Step 3: Cross multiply
    3,732.91x = 5,145.67 × 3,135.13
  4. Step 4: Simplify right side
    3,732.91x = 16,132,344.39
  5. Step 5: Solve for x
    x = 16,132,344.39/3,732.91
  6. Step 6: Final answer
    x = 4,321.65

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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.