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Finding the Fourth Proportional to 5,176.92, 7,757.22 and 3,226.20

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Solution

The fourth proportional to 5,176.92, 7,757.22 and 3,226.20 is: 4,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.92 : 7,757.22 = 3,226.20 : x
  2. Step 2: Convert to fraction form
    5,176.92/7,757.22 = 3,226.20/x
  3. Step 3: Cross multiply
    5,176.92x = 7,757.22 × 3,226.20
  4. Step 4: Simplify right side
    5,176.92x = 25,026,343.16
  5. Step 5: Solve for x
    x = 25,026,343.16/5,176.92
  6. Step 6: Final answer
    x = 4,834.21

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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.