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Finding the Fourth Proportional to 3,638.60, 5,022.20 and 2,067.20

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Solution

The fourth proportional to 3,638.60, 5,022.20 and 2,067.20 is: 2,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.60 : 5,022.20 = 2,067.20 : x
  2. Step 2: Convert to fraction form
    3,638.60/5,022.20 = 2,067.20/x
  3. Step 3: Cross multiply
    3,638.60x = 5,022.20 × 2,067.20
  4. Step 4: Simplify right side
    3,638.60x = 10,381,891.84
  5. Step 5: Solve for x
    x = 10,381,891.84/3,638.60
  6. Step 6: Final answer
    x = 2,853.27

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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.