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Finding the Fourth Proportional to 5,196.56, 7,171.34 and 2,839.05

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Solution

The fourth proportional to 5,196.56, 7,171.34 and 2,839.05 is: 3,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.56 : 7,171.34 = 2,839.05 : x
  2. Step 2: Convert to fraction form
    5,196.56/7,171.34 = 2,839.05/x
  3. Step 3: Cross multiply
    5,196.56x = 7,171.34 × 2,839.05
  4. Step 4: Simplify right side
    5,196.56x = 20,359,778.63
  5. Step 5: Solve for x
    x = 20,359,778.63/5,196.56
  6. Step 6: Final answer
    x = 3,917.94

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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.