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Finding the Fourth Proportional to 5,170.75, 7,757.19 and 2,704.90

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Solution

The fourth proportional to 5,170.75, 7,757.19 and 2,704.90 is: 4,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.75 : 7,757.19 = 2,704.90 : x
  2. Step 2: Convert to fraction form
    5,170.75/7,757.19 = 2,704.90/x
  3. Step 3: Cross multiply
    5,170.75x = 7,757.19 × 2,704.90
  4. Step 4: Simplify right side
    5,170.75x = 20,982,423.23
  5. Step 5: Solve for x
    x = 20,982,423.23/5,170.75
  6. Step 6: Final answer
    x = 4,057.91

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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.