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Finding the Fourth Proportional to 5,016.38, 6,922.31 and 2,778.15

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Solution

The fourth proportional to 5,016.38, 6,922.31 and 2,778.15 is: 3,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.38 : 6,922.31 = 2,778.15 : x
  2. Step 2: Convert to fraction form
    5,016.38/6,922.31 = 2,778.15/x
  3. Step 3: Cross multiply
    5,016.38x = 6,922.31 × 2,778.15
  4. Step 4: Simplify right side
    5,016.38x = 19,231,201.64
  5. Step 5: Solve for x
    x = 19,231,201.64/5,016.38
  6. Step 6: Final answer
    x = 3,833.69

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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.