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Finding the Fourth Proportional to 5,197.38, 7,796.06 and 2,078.79

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Solution

The fourth proportional to 5,197.38, 7,796.06 and 2,078.79 is: 3,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.38 : 7,796.06 = 2,078.79 : x
  2. Step 2: Convert to fraction form
    5,197.38/7,796.06 = 2,078.79/x
  3. Step 3: Cross multiply
    5,197.38x = 7,796.06 × 2,078.79
  4. Step 4: Simplify right side
    5,197.38x = 16,206,371.57
  5. Step 5: Solve for x
    x = 16,206,371.57/5,197.38
  6. Step 6: Final answer
    x = 3,118.18

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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.