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Finding the Fourth Proportional to 8,149.38, 12,218.46 and 3,219.58

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Solution

The fourth proportional to 8,149.38, 12,218.46 and 3,219.58 is: 4,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.38 : 12,218.46 = 3,219.58 : x
  2. Step 2: Convert to fraction form
    8,149.38/12,218.46 = 3,219.58/x
  3. Step 3: Cross multiply
    8,149.38x = 12,218.46 × 3,219.58
  4. Step 4: Simplify right side
    8,149.38x = 39,338,309.45
  5. Step 5: Solve for x
    x = 39,338,309.45/8,149.38
  6. Step 6: Final answer
    x = 4,827.15

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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.