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Finding the Fourth Proportional to 3,791.53, 5,658.66 and 3,693.12

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Solution

The fourth proportional to 3,791.53, 5,658.66 and 3,693.12 is: 5,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.53 : 5,658.66 = 3,693.12 : x
  2. Step 2: Convert to fraction form
    3,791.53/5,658.66 = 3,693.12/x
  3. Step 3: Cross multiply
    3,791.53x = 5,658.66 × 3,693.12
  4. Step 4: Simplify right side
    3,791.53x = 20,898,105.11
  5. Step 5: Solve for x
    x = 20,898,105.11/3,791.53
  6. Step 6: Final answer
    x = 5,511.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.