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Finding the Fourth Proportional to 3,640.22, 5,022.33 and 2,148.64

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Solution

The fourth proportional to 3,640.22, 5,022.33 and 2,148.64 is: 2,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.22 : 5,022.33 = 2,148.64 : x
  2. Step 2: Convert to fraction form
    3,640.22/5,022.33 = 2,148.64/x
  3. Step 3: Cross multiply
    3,640.22x = 5,022.33 × 2,148.64
  4. Step 4: Simplify right side
    3,640.22x = 10,791,154.02
  5. Step 5: Solve for x
    x = 10,791,154.02/3,640.22
  6. Step 6: Final answer
    x = 2,964.42

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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.