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Finding the Fourth Proportional to 4,363.89, 6,546.85 and 1,442.19

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Solution

The fourth proportional to 4,363.89, 6,546.85 and 1,442.19 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.89 : 6,546.85 = 1,442.19 : x
  2. Step 2: Convert to fraction form
    4,363.89/6,546.85 = 1,442.19/x
  3. Step 3: Cross multiply
    4,363.89x = 6,546.85 × 1,442.19
  4. Step 4: Simplify right side
    4,363.89x = 9,441,793.83
  5. Step 5: Solve for x
    x = 9,441,793.83/4,363.89
  6. Step 6: Final answer
    x = 2,163.62

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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.