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Finding the Fourth Proportional to 5,757.68, 8,626.80 and 4,601

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Solution

The fourth proportional to 5,757.68, 8,626.80 and 4,601 is: 6,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.68 : 8,626.80 = 4,601 : x
  2. Step 2: Convert to fraction form
    5,757.68/8,626.80 = 4,601/x
  3. Step 3: Cross multiply
    5,757.68x = 8,626.80 × 4,601
  4. Step 4: Simplify right side
    5,757.68x = 39,691,906.80
  5. Step 5: Solve for x
    x = 39,691,906.80/5,757.68
  6. Step 6: Final answer
    x = 6,893.73

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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.