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Finding the Fourth Proportional to 4,425.87, 6,105.65 and 2,854.47

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Solution

The fourth proportional to 4,425.87, 6,105.65 and 2,854.47 is: 3,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.87 : 6,105.65 = 2,854.47 : x
  2. Step 2: Convert to fraction form
    4,425.87/6,105.65 = 2,854.47/x
  3. Step 3: Cross multiply
    4,425.87x = 6,105.65 × 2,854.47
  4. Step 4: Simplify right side
    4,425.87x = 17,428,394.76
  5. Step 5: Solve for x
    x = 17,428,394.76/4,425.87
  6. Step 6: Final answer
    x = 3,937.85

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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.