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Finding the Fourth Proportional to 3,622.68, 5,432.27 and 2,161.44

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Solution

The fourth proportional to 3,622.68, 5,432.27 and 2,161.44 is: 3,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.68 : 5,432.27 = 2,161.44 : x
  2. Step 2: Convert to fraction form
    3,622.68/5,432.27 = 2,161.44/x
  3. Step 3: Cross multiply
    3,622.68x = 5,432.27 × 2,161.44
  4. Step 4: Simplify right side
    3,622.68x = 11,741,514.86
  5. Step 5: Solve for x
    x = 11,741,514.86/3,622.68
  6. Step 6: Final answer
    x = 3,241.11

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