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Finding the Fourth Proportional to 5,227.78, 7,841.70 and 2,149.78

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Solution

The fourth proportional to 5,227.78, 7,841.70 and 2,149.78 is: 3,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.78 : 7,841.70 = 2,149.78 : x
  2. Step 2: Convert to fraction form
    5,227.78/7,841.70 = 2,149.78/x
  3. Step 3: Cross multiply
    5,227.78x = 7,841.70 × 2,149.78
  4. Step 4: Simplify right side
    5,227.78x = 16,857,929.83
  5. Step 5: Solve for x
    x = 16,857,929.83/5,227.78
  6. Step 6: Final answer
    x = 3,224.68

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1.5x scale

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.