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Finding the Fourth Proportional to 4,161.40, 6,234.90 and 3,902.20

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Solution

The fourth proportional to 4,161.40, 6,234.90 and 3,902.20 is: 5,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.40 : 6,234.90 = 3,902.20 : x
  2. Step 2: Convert to fraction form
    4,161.40/6,234.90 = 3,902.20/x
  3. Step 3: Cross multiply
    4,161.40x = 6,234.90 × 3,902.20
  4. Step 4: Simplify right side
    4,161.40x = 24,329,826.78
  5. Step 5: Solve for x
    x = 24,329,826.78/4,161.40
  6. Step 6: Final answer
    x = 5,846.55

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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.