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Finding the Fourth Proportional to 3,639.76, 5,022.87 and 2,067.82

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Solution

The fourth proportional to 3,639.76, 5,022.87 and 2,067.82 is: 2,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.76 : 5,022.87 = 2,067.82 : x
  2. Step 2: Convert to fraction form
    3,639.76/5,022.87 = 2,067.82/x
  3. Step 3: Cross multiply
    3,639.76x = 5,022.87 × 2,067.82
  4. Step 4: Simplify right side
    3,639.76x = 10,386,391.04
  5. Step 5: Solve for x
    x = 10,386,391.04/3,639.76
  6. Step 6: Final answer
    x = 2,853.59

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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.