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Finding the Fourth Proportional to 5,949.14, 8,937.38 and 4,198.17

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Solution

The fourth proportional to 5,949.14, 8,937.38 and 4,198.17 is: 6,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.14 : 8,937.38 = 4,198.17 : x
  2. Step 2: Convert to fraction form
    5,949.14/8,937.38 = 4,198.17/x
  3. Step 3: Cross multiply
    5,949.14x = 8,937.38 × 4,198.17
  4. Step 4: Simplify right side
    5,949.14x = 37,520,619.60
  5. Step 5: Solve for x
    x = 37,520,619.60/5,949.14
  6. Step 6: Final answer
    x = 6,306.90

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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.