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Finding the Fourth Proportional to 5,167.70, 7,751.48 and 1,469.96

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Solution

The fourth proportional to 5,167.70, 7,751.48 and 1,469.96 is: 2,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.70 : 7,751.48 = 1,469.96 : x
  2. Step 2: Convert to fraction form
    5,167.70/7,751.48 = 1,469.96/x
  3. Step 3: Cross multiply
    5,167.70x = 7,751.48 × 1,469.96
  4. Step 4: Simplify right side
    5,167.70x = 11,394,365.54
  5. Step 5: Solve for x
    x = 11,394,365.54/5,167.70
  6. Step 6: Final answer
    x = 2,204.92

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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.