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Finding the Fourth Proportional to 5,227.56, 7,841.36 and 1,767.24

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Solution

The fourth proportional to 5,227.56, 7,841.36 and 1,767.24 is: 2,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.56 : 7,841.36 = 1,767.24 : x
  2. Step 2: Convert to fraction form
    5,227.56/7,841.36 = 1,767.24/x
  3. Step 3: Cross multiply
    5,227.56x = 7,841.36 × 1,767.24
  4. Step 4: Simplify right side
    5,227.56x = 13,857,565.05
  5. Step 5: Solve for x
    x = 13,857,565.05/5,227.56
  6. Step 6: Final answer
    x = 2,650.87

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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.