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Finding the Fourth Proportional to 5,016.96, 6,922.84 and 2,778.28

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Solution

The fourth proportional to 5,016.96, 6,922.84 and 2,778.28 is: 3,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.96 : 6,922.84 = 2,778.28 : x
  2. Step 2: Convert to fraction form
    5,016.96/6,922.84 = 2,778.28/x
  3. Step 3: Cross multiply
    5,016.96x = 6,922.84 × 2,778.28
  4. Step 4: Simplify right side
    5,016.96x = 19,233,587.92
  5. Step 5: Solve for x
    x = 19,233,587.92/5,016.96
  6. Step 6: Final answer
    x = 3,833.71

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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.