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Finding the Fourth Proportional to 3,639.43, 5,022.24 and 2,148.22

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Solution

The fourth proportional to 3,639.43, 5,022.24 and 2,148.22 is: 2,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.43 : 5,022.24 = 2,148.22 : x
  2. Step 2: Convert to fraction form
    3,639.43/5,022.24 = 2,148.22/x
  3. Step 3: Cross multiply
    3,639.43x = 5,022.24 × 2,148.22
  4. Step 4: Simplify right side
    3,639.43x = 10,788,876.41
  5. Step 5: Solve for x
    x = 10,788,876.41/3,639.43
  6. Step 6: Final answer
    x = 2,964.44

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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.