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Finding the Fourth Proportional to 3,542.82, 5,337.87 and 3,209.69

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Solution

The fourth proportional to 3,542.82, 5,337.87 and 3,209.69 is: 4,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.82 : 5,337.87 = 3,209.69 : x
  2. Step 2: Convert to fraction form
    3,542.82/5,337.87 = 3,209.69/x
  3. Step 3: Cross multiply
    3,542.82x = 5,337.87 × 3,209.69
  4. Step 4: Simplify right side
    3,542.82x = 17,132,873.25
  5. Step 5: Solve for x
    x = 17,132,873.25/3,542.82
  6. Step 6: Final answer
    x = 4,835.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.