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Finding the Fourth Proportional to 3,747.68, 5,171.41 and 2,068.89

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Solution

The fourth proportional to 3,747.68, 5,171.41 and 2,068.89 is: 2,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.68 : 5,171.41 = 2,068.89 : x
  2. Step 2: Convert to fraction form
    3,747.68/5,171.41 = 2,068.89/x
  3. Step 3: Cross multiply
    3,747.68x = 5,171.41 × 2,068.89
  4. Step 4: Simplify right side
    3,747.68x = 10,699,078.43
  5. Step 5: Solve for x
    x = 10,699,078.43/3,747.68
  6. Step 6: Final answer
    x = 2,854.85

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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.