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Finding the Fourth Proportional to 3,542.57, 5,337.49 and 3,209.44

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Solution

The fourth proportional to 3,542.57, 5,337.49 and 3,209.44 is: 4,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.57 : 5,337.49 = 3,209.44 : x
  2. Step 2: Convert to fraction form
    3,542.57/5,337.49 = 3,209.44/x
  3. Step 3: Cross multiply
    3,542.57x = 5,337.49 × 3,209.44
  4. Step 4: Simplify right side
    3,542.57x = 17,130,327.22
  5. Step 5: Solve for x
    x = 17,130,327.22/3,542.57
  6. Step 6: Final answer
    x = 4,835.56

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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.