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Finding the Fourth Proportional to 3,431.52, 5,148.24 and 1,350.24

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Solution

The fourth proportional to 3,431.52, 5,148.24 and 1,350.24 is: 2,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.52 : 5,148.24 = 1,350.24 : x
  2. Step 2: Convert to fraction form
    3,431.52/5,148.24 = 1,350.24/x
  3. Step 3: Cross multiply
    3,431.52x = 5,148.24 × 1,350.24
  4. Step 4: Simplify right side
    3,431.52x = 6,951,359.58
  5. Step 5: Solve for x
    x = 6,951,359.58/3,431.52
  6. Step 6: Final answer
    x = 2,025.74

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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.