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Finding the Fourth Proportional to 4,142.97, 5,717.70 and 2,375.10

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Solution

The fourth proportional to 4,142.97, 5,717.70 and 2,375.10 is: 3,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.97 : 5,717.70 = 2,375.10 : x
  2. Step 2: Convert to fraction form
    4,142.97/5,717.70 = 2,375.10/x
  3. Step 3: Cross multiply
    4,142.97x = 5,717.70 × 2,375.10
  4. Step 4: Simplify right side
    4,142.97x = 13,580,109.27
  5. Step 5: Solve for x
    x = 13,580,109.27/4,142.97
  6. Step 6: Final answer
    x = 3,277.87

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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.