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Finding the Fourth Proportional to 5,187.28, 7,781.92 and 2,846

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Solution

The fourth proportional to 5,187.28, 7,781.92 and 2,846 is: 4,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.28 : 7,781.92 = 2,846 : x
  2. Step 2: Convert to fraction form
    5,187.28/7,781.92 = 2,846/x
  3. Step 3: Cross multiply
    5,187.28x = 7,781.92 × 2,846
  4. Step 4: Simplify right side
    5,187.28x = 22,147,344.32
  5. Step 5: Solve for x
    x = 22,147,344.32/5,187.28
  6. Step 6: Final answer
    x = 4,269.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.