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Finding the Fourth Proportional to 4,571.52, 6,306.24 and 3,171.84

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Solution

The fourth proportional to 4,571.52, 6,306.24 and 3,171.84 is: 4,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.52 : 6,306.24 = 3,171.84 : x
  2. Step 2: Convert to fraction form
    4,571.52/6,306.24 = 3,171.84/x
  3. Step 3: Cross multiply
    4,571.52x = 6,306.24 × 3,171.84
  4. Step 4: Simplify right side
    4,571.52x = 20,002,384.28
  5. Step 5: Solve for x
    x = 20,002,384.28/4,571.52
  6. Step 6: Final answer
    x = 4,375.43

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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.