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Finding the Fourth Proportional to 4,517.52, 6,789.65 and 3,742.49

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Solution

The fourth proportional to 4,517.52, 6,789.65 and 3,742.49 is: 5,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.52 : 6,789.65 = 3,742.49 : x
  2. Step 2: Convert to fraction form
    4,517.52/6,789.65 = 3,742.49/x
  3. Step 3: Cross multiply
    4,517.52x = 6,789.65 × 3,742.49
  4. Step 4: Simplify right side
    4,517.52x = 25,410,144.57
  5. Step 5: Solve for x
    x = 25,410,144.57/4,517.52
  6. Step 6: Final answer
    x = 5,624.80

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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.