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Finding the Fourth Proportional to 3,757.26, 5,624.35 and 3,385.47

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Solution

The fourth proportional to 3,757.26, 5,624.35 and 3,385.47 is: 5,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.26 : 5,624.35 = 3,385.47 : x
  2. Step 2: Convert to fraction form
    3,757.26/5,624.35 = 3,385.47/x
  3. Step 3: Cross multiply
    3,757.26x = 5,624.35 × 3,385.47
  4. Step 4: Simplify right side
    3,757.26x = 19,041,059.73
  5. Step 5: Solve for x
    x = 19,041,059.73/3,757.26
  6. Step 6: Final answer
    x = 5,067.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.