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Finding the Fourth Proportional to 4,142.67, 5,716.89 and 2,375.25

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Solution

The fourth proportional to 4,142.67, 5,716.89 and 2,375.25 is: 3,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.67 : 5,716.89 = 2,375.25 : x
  2. Step 2: Convert to fraction form
    4,142.67/5,716.89 = 2,375.25/x
  3. Step 3: Cross multiply
    4,142.67x = 5,716.89 × 2,375.25
  4. Step 4: Simplify right side
    4,142.67x = 13,579,042.97
  5. Step 5: Solve for x
    x = 13,579,042.97/4,142.67
  6. Step 6: Final answer
    x = 3,277.85

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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.