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Finding the Fourth Proportional to 3,769.70, 5,200.89 and 2,198.30

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Solution

The fourth proportional to 3,769.70, 5,200.89 and 2,198.30 is: 3,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.70 : 5,200.89 = 2,198.30 : x
  2. Step 2: Convert to fraction form
    3,769.70/5,200.89 = 2,198.30/x
  3. Step 3: Cross multiply
    3,769.70x = 5,200.89 × 2,198.30
  4. Step 4: Simplify right side
    3,769.70x = 11,433,116.49
  5. Step 5: Solve for x
    x = 11,433,116.49/3,769.70
  6. Step 6: Final answer
    x = 3,032.90

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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.