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Finding the Fourth Proportional to 5,757.92, 8,648.42 and 5,568.78

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Solution

The fourth proportional to 5,757.92, 8,648.42 and 5,568.78 is: 8,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.92 : 8,648.42 = 5,568.78 : x
  2. Step 2: Convert to fraction form
    5,757.92/8,648.42 = 5,568.78/x
  3. Step 3: Cross multiply
    5,757.92x = 8,648.42 × 5,568.78
  4. Step 4: Simplify right side
    5,757.92x = 48,161,148.33
  5. Step 5: Solve for x
    x = 48,161,148.33/5,757.92
  6. Step 6: Final answer
    x = 8,364.33

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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.