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Finding the Fourth Proportional to 5,542.33, 8,314.41 and 2,769.11

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Solution

The fourth proportional to 5,542.33, 8,314.41 and 2,769.11 is: 4,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.33 : 8,314.41 = 2,769.11 : x
  2. Step 2: Convert to fraction form
    5,542.33/8,314.41 = 2,769.11/x
  3. Step 3: Cross multiply
    5,542.33x = 8,314.41 × 2,769.11
  4. Step 4: Simplify right side
    5,542.33x = 23,023,515.88
  5. Step 5: Solve for x
    x = 23,023,515.88/5,542.33
  6. Step 6: Final answer
    x = 4,154.13

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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.