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Finding the Fourth Proportional to 3,542.25, 5,309.27 and 3,132.19

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Solution

The fourth proportional to 3,542.25, 5,309.27 and 3,132.19 is: 4,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.25 : 5,309.27 = 3,132.19 : x
  2. Step 2: Convert to fraction form
    3,542.25/5,309.27 = 3,132.19/x
  3. Step 3: Cross multiply
    3,542.25x = 5,309.27 × 3,132.19
  4. Step 4: Simplify right side
    3,542.25x = 16,629,600.19
  5. Step 5: Solve for x
    x = 16,629,600.19/3,542.25
  6. Step 6: Final answer
    x = 4,694.64

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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.