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Finding the Fourth Proportional to 3,753.43, 5,180.17 and 3,122.84

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Solution

The fourth proportional to 3,753.43, 5,180.17 and 3,122.84 is: 4,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.43 : 5,180.17 = 3,122.84 : x
  2. Step 2: Convert to fraction form
    3,753.43/5,180.17 = 3,122.84/x
  3. Step 3: Cross multiply
    3,753.43x = 5,180.17 × 3,122.84
  4. Step 4: Simplify right side
    3,753.43x = 16,176,847.23
  5. Step 5: Solve for x
    x = 16,176,847.23/3,753.43
  6. Step 6: Final answer
    x = 4,309.89

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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.