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Finding the Fourth Proportional to 5,196.92, 7,171.64 and 2,839

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Solution

The fourth proportional to 5,196.92, 7,171.64 and 2,839 is: 3,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.92 : 7,171.64 = 2,839 : x
  2. Step 2: Convert to fraction form
    5,196.92/7,171.64 = 2,839/x
  3. Step 3: Cross multiply
    5,196.92x = 7,171.64 × 2,839
  4. Step 4: Simplify right side
    5,196.92x = 20,360,285.96
  5. Step 5: Solve for x
    x = 20,360,285.96/5,196.92
  6. Step 6: Final answer
    x = 3,917.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.