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Finding the Fourth Proportional to 5,227.76, 7,841.34 and 3,823.61

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Solution

The fourth proportional to 5,227.76, 7,841.34 and 3,823.61 is: 5,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.76 : 7,841.34 = 3,823.61 : x
  2. Step 2: Convert to fraction form
    5,227.76/7,841.34 = 3,823.61/x
  3. Step 3: Cross multiply
    5,227.76x = 7,841.34 × 3,823.61
  4. Step 4: Simplify right side
    5,227.76x = 29,982,245.64
  5. Step 5: Solve for x
    x = 29,982,245.64/5,227.76
  6. Step 6: Final answer
    x = 5,735.20

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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.