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Finding the Fourth Proportional to 5,542.45, 8,306.74 and 2,769.90

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Solution

The fourth proportional to 5,542.45, 8,306.74 and 2,769.90 is: 4,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.45 : 8,306.74 = 2,769.90 : x
  2. Step 2: Convert to fraction form
    5,542.45/8,306.74 = 2,769.90/x
  3. Step 3: Cross multiply
    5,542.45x = 8,306.74 × 2,769.90
  4. Step 4: Simplify right side
    5,542.45x = 23,008,839.13
  5. Step 5: Solve for x
    x = 23,008,839.13/5,542.45
  6. Step 6: Final answer
    x = 4,151.38

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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.