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Finding the Fourth Proportional to 3,427.02, 5,140.17 and 961.92

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Solution

The fourth proportional to 3,427.02, 5,140.17 and 961.92 is: 1,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.02 : 5,140.17 = 961.92 : x
  2. Step 2: Convert to fraction form
    3,427.02/5,140.17 = 961.92/x
  3. Step 3: Cross multiply
    3,427.02x = 5,140.17 × 961.92
  4. Step 4: Simplify right side
    3,427.02x = 4,944,432.33
  5. Step 5: Solve for x
    x = 4,944,432.33/3,427.02
  6. Step 6: Final answer
    x = 1,442.78

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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.