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Finding the Fourth Proportional to 3,367.92, 5,049.36 and 1,287.12

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Solution

The fourth proportional to 3,367.92, 5,049.36 and 1,287.12 is: 1,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.92 : 5,049.36 = 1,287.12 : x
  2. Step 2: Convert to fraction form
    3,367.92/5,049.36 = 1,287.12/x
  3. Step 3: Cross multiply
    3,367.92x = 5,049.36 × 1,287.12
  4. Step 4: Simplify right side
    3,367.92x = 6,499,132.24
  5. Step 5: Solve for x
    x = 6,499,132.24/3,367.92
  6. Step 6: Final answer
    x = 1,929.72

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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.