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Finding the Fourth Proportional to 6,198.70, 8,549.67 and 3,958.78

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Solution

The fourth proportional to 6,198.70, 8,549.67 and 3,958.78 is: 5,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.70 : 8,549.67 = 3,958.78 : x
  2. Step 2: Convert to fraction form
    6,198.70/8,549.67 = 3,958.78/x
  3. Step 3: Cross multiply
    6,198.70x = 8,549.67 × 3,958.78
  4. Step 4: Simplify right side
    6,198.70x = 33,846,262.60
  5. Step 5: Solve for x
    x = 33,846,262.60/6,198.70
  6. Step 6: Final answer
    x = 5,460.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.