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Finding the Fourth Proportional to 4,142.52, 5,717.94 and 2,375.28

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Solution

The fourth proportional to 4,142.52, 5,717.94 and 2,375.28 is: 3,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.52 : 5,717.94 = 2,375.28 : x
  2. Step 2: Convert to fraction form
    4,142.52/5,717.94 = 2,375.28/x
  3. Step 3: Cross multiply
    4,142.52x = 5,717.94 × 2,375.28
  4. Step 4: Simplify right side
    4,142.52x = 13,581,708.52
  5. Step 5: Solve for x
    x = 13,581,708.52/4,142.52
  6. Step 6: Final answer
    x = 3,278.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.