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Finding the Fourth Proportional to 5,267.52, 7,884 and 4,691.52

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Solution

The fourth proportional to 5,267.52, 7,884 and 4,691.52 is: 7,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.52 : 7,884 = 4,691.52 : x
  2. Step 2: Convert to fraction form
    5,267.52/7,884 = 4,691.52/x
  3. Step 3: Cross multiply
    5,267.52x = 7,884 × 4,691.52
  4. Step 4: Simplify right side
    5,267.52x = 36,987,943.68
  5. Step 5: Solve for x
    x = 36,987,943.68/5,267.52
  6. Step 6: Final answer
    x = 7,021.89

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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.