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Finding the Fourth Proportional to 5,472.71, 7,546.34 and 3,701.24

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Solution

The fourth proportional to 5,472.71, 7,546.34 and 3,701.24 is: 5,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.71 : 7,546.34 = 3,701.24 : x
  2. Step 2: Convert to fraction form
    5,472.71/7,546.34 = 3,701.24/x
  3. Step 3: Cross multiply
    5,472.71x = 7,546.34 × 3,701.24
  4. Step 4: Simplify right side
    5,472.71x = 27,930,847.32
  5. Step 5: Solve for x
    x = 27,930,847.32/5,472.71
  6. Step 6: Final answer
    x = 5,103.66

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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.