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Finding the Fourth Proportional to 5,610.48, 7,743 and 3,251.76

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Solution

The fourth proportional to 5,610.48, 7,743 and 3,251.76 is: 4,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.48 : 7,743 = 3,251.76 : x
  2. Step 2: Convert to fraction form
    5,610.48/7,743 = 3,251.76/x
  3. Step 3: Cross multiply
    5,610.48x = 7,743 × 3,251.76
  4. Step 4: Simplify right side
    5,610.48x = 25,178,377.68
  5. Step 5: Solve for x
    x = 25,178,377.68/5,610.48
  6. Step 6: Final answer
    x = 4,487.74

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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.