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Finding the Fourth Proportional to 3,872.24, 5,805 and 1,791.44

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Solution

The fourth proportional to 3,872.24, 5,805 and 1,791.44 is: 2,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.24 : 5,805 = 1,791.44 : x
  2. Step 2: Convert to fraction form
    3,872.24/5,805 = 1,791.44/x
  3. Step 3: Cross multiply
    3,872.24x = 5,805 × 1,791.44
  4. Step 4: Simplify right side
    3,872.24x = 10,399,309.20
  5. Step 5: Solve for x
    x = 10,399,309.20/3,872.24
  6. Step 6: Final answer
    x = 2,685.61

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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.