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Finding the Fourth Proportional to 3,542.67, 5,314.10 and 1,567.88

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Solution

The fourth proportional to 3,542.67, 5,314.10 and 1,567.88 is: 2,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.67 : 5,314.10 = 1,567.88 : x
  2. Step 2: Convert to fraction form
    3,542.67/5,314.10 = 1,567.88/x
  3. Step 3: Cross multiply
    3,542.67x = 5,314.10 × 1,567.88
  4. Step 4: Simplify right side
    3,542.67x = 8,331,871.11
  5. Step 5: Solve for x
    x = 8,331,871.11/3,542.67
  6. Step 6: Final answer
    x = 2,351.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.