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Finding the Fourth Proportional to 3,891.20, 5,822.22 and 2,161.04

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Solution

The fourth proportional to 3,891.20, 5,822.22 and 2,161.04 is: 3,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.20 : 5,822.22 = 2,161.04 : x
  2. Step 2: Convert to fraction form
    3,891.20/5,822.22 = 2,161.04/x
  3. Step 3: Cross multiply
    3,891.20x = 5,822.22 × 2,161.04
  4. Step 4: Simplify right side
    3,891.20x = 12,582,050.31
  5. Step 5: Solve for x
    x = 12,582,050.31/3,891.20
  6. Step 6: Final answer
    x = 3,233.46

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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.