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Finding the Fourth Proportional to 5,169.90, 7,754.91 and 1,472.39

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Solution

The fourth proportional to 5,169.90, 7,754.91 and 1,472.39 is: 2,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.90 : 7,754.91 = 1,472.39 : x
  2. Step 2: Convert to fraction form
    5,169.90/7,754.91 = 1,472.39/x
  3. Step 3: Cross multiply
    5,169.90x = 7,754.91 × 1,472.39
  4. Step 4: Simplify right side
    5,169.90x = 11,418,251.93
  5. Step 5: Solve for x
    x = 11,418,251.93/5,169.90
  6. Step 6: Final answer
    x = 2,208.60

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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.