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Finding the Fourth Proportional to 5,195.45, 7,793.18 and 1,299.86

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Solution

The fourth proportional to 5,195.45, 7,793.18 and 1,299.86 is: 1,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.45 : 7,793.18 = 1,299.86 : x
  2. Step 2: Convert to fraction form
    5,195.45/7,793.18 = 1,299.86/x
  3. Step 3: Cross multiply
    5,195.45x = 7,793.18 × 1,299.86
  4. Step 4: Simplify right side
    5,195.45x = 10,129,997.49
  5. Step 5: Solve for x
    x = 10,129,997.49/5,195.45
  6. Step 6: Final answer
    x = 1,949.78

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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.