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Finding the Fourth Proportional to 3,662.43, 5,480.03 and 2,182.44

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Solution

The fourth proportional to 3,662.43, 5,480.03 and 2,182.44 is: 3,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.43 : 5,480.03 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    3,662.43/5,480.03 = 2,182.44/x
  3. Step 3: Cross multiply
    3,662.43x = 5,480.03 × 2,182.44
  4. Step 4: Simplify right side
    3,662.43x = 11,959,856.54
  5. Step 5: Solve for x
    x = 11,959,856.54/3,662.43
  6. Step 6: Final answer
    x = 3,265.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.