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Finding the Fourth Proportional to 5,176.72, 7,765.60 and 3,227.28

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Solution

The fourth proportional to 5,176.72, 7,765.60 and 3,227.28 is: 4,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.72 : 7,765.60 = 3,227.28 : x
  2. Step 2: Convert to fraction form
    5,176.72/7,765.60 = 3,227.28/x
  3. Step 3: Cross multiply
    5,176.72x = 7,765.60 × 3,227.28
  4. Step 4: Simplify right side
    5,176.72x = 25,061,765.57
  5. Step 5: Solve for x
    x = 25,061,765.57/5,176.72
  6. Step 6: Final answer
    x = 4,841.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.