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Finding the Fourth Proportional to 5,196.98, 7,171.81 and 2,839.12

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Solution

The fourth proportional to 5,196.98, 7,171.81 and 2,839.12 is: 3,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.98 : 7,171.81 = 2,839.12 : x
  2. Step 2: Convert to fraction form
    5,196.98/7,171.81 = 2,839.12/x
  3. Step 3: Cross multiply
    5,196.98x = 7,171.81 × 2,839.12
  4. Step 4: Simplify right side
    5,196.98x = 20,361,604.18
  5. Step 5: Solve for x
    x = 20,361,604.18/5,196.98
  6. Step 6: Final answer
    x = 3,917.97

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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.