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Finding the Fourth Proportional to 5,768.28, 7,960.22 and 3,115.68

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Solution

The fourth proportional to 5,768.28, 7,960.22 and 3,115.68 is: 4,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.28 : 7,960.22 = 3,115.68 : x
  2. Step 2: Convert to fraction form
    5,768.28/7,960.22 = 3,115.68/x
  3. Step 3: Cross multiply
    5,768.28x = 7,960.22 × 3,115.68
  4. Step 4: Simplify right side
    5,768.28x = 24,801,524.21
  5. Step 5: Solve for x
    x = 24,801,524.21/5,768.28
  6. Step 6: Final answer
    x = 4,299.64

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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.