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Finding the Fourth Proportional to 5,732.88, 8,601 and 2,402.72

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Solution

The fourth proportional to 5,732.88, 8,601 and 2,402.72 is: 3,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.88 : 8,601 = 2,402.72 : x
  2. Step 2: Convert to fraction form
    5,732.88/8,601 = 2,402.72/x
  3. Step 3: Cross multiply
    5,732.88x = 8,601 × 2,402.72
  4. Step 4: Simplify right side
    5,732.88x = 20,665,794.72
  5. Step 5: Solve for x
    x = 20,665,794.72/5,732.88
  6. Step 6: Final answer
    x = 3,604.78

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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.