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Finding the Fourth Proportional to 4,102.57, 5,658.35 and 3,630.97

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Solution

The fourth proportional to 4,102.57, 5,658.35 and 3,630.97 is: 5,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.57 : 5,658.35 = 3,630.97 : x
  2. Step 2: Convert to fraction form
    4,102.57/5,658.35 = 3,630.97/x
  3. Step 3: Cross multiply
    4,102.57x = 5,658.35 × 3,630.97
  4. Step 4: Simplify right side
    4,102.57x = 20,545,280.94
  5. Step 5: Solve for x
    x = 20,545,280.94/4,102.57
  6. Step 6: Final answer
    x = 5,007.91

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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.