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Finding the Fourth Proportional to 4,793.46, 7,193.71 and 2,198.18

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Solution

The fourth proportional to 4,793.46, 7,193.71 and 2,198.18 is: 3,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.46 : 7,193.71 = 2,198.18 : x
  2. Step 2: Convert to fraction form
    4,793.46/7,193.71 = 2,198.18/x
  3. Step 3: Cross multiply
    4,793.46x = 7,193.71 × 2,198.18
  4. Step 4: Simplify right side
    4,793.46x = 15,813,069.45
  5. Step 5: Solve for x
    x = 15,813,069.45/4,793.46
  6. Step 6: Final answer
    x = 3,298.88

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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.