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Finding the Fourth Proportional to 3,639.60, 5,023.17 and 2,067.84

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Solution

The fourth proportional to 3,639.60, 5,023.17 and 2,067.84 is: 2,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.60 : 5,023.17 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    3,639.60/5,023.17 = 2,067.84/x
  3. Step 3: Cross multiply
    3,639.60x = 5,023.17 × 2,067.84
  4. Step 4: Simplify right side
    3,639.60x = 10,387,111.85
  5. Step 5: Solve for x
    x = 10,387,111.85/3,639.60
  6. Step 6: Final answer
    x = 2,853.92

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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.