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Finding the Fourth Proportional to 5,171.57, 7,133.77 and 3,753.62

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Solution

The fourth proportional to 5,171.57, 7,133.77 and 3,753.62 is: 5,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.57 : 7,133.77 = 3,753.62 : x
  2. Step 2: Convert to fraction form
    5,171.57/7,133.77 = 3,753.62/x
  3. Step 3: Cross multiply
    5,171.57x = 7,133.77 × 3,753.62
  4. Step 4: Simplify right side
    5,171.57x = 26,777,461.75
  5. Step 5: Solve for x
    x = 26,777,461.75/5,171.57
  6. Step 6: Final answer
    x = 5,177.82

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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.