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Finding the Fourth Proportional to 5,187.50, 7,781.24 and 1,291.90

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Solution

The fourth proportional to 5,187.50, 7,781.24 and 1,291.90 is: 1,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.50 : 7,781.24 = 1,291.90 : x
  2. Step 2: Convert to fraction form
    5,187.50/7,781.24 = 1,291.90/x
  3. Step 3: Cross multiply
    5,187.50x = 7,781.24 × 1,291.90
  4. Step 4: Simplify right side
    5,187.50x = 10,052,567.73
  5. Step 5: Solve for x
    x = 10,052,567.73/5,187.50
  6. Step 6: Final answer
    x = 1,937.85

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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.