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Finding the Fourth Proportional to 4,140.48, 5,713.60 and 2,568

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Solution

The fourth proportional to 4,140.48, 5,713.60 and 2,568 is: 3,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.48 : 5,713.60 = 2,568 : x
  2. Step 2: Convert to fraction form
    4,140.48/5,713.60 = 2,568/x
  3. Step 3: Cross multiply
    4,140.48x = 5,713.60 × 2,568
  4. Step 4: Simplify right side
    4,140.48x = 14,672,524.80
  5. Step 5: Solve for x
    x = 14,672,524.80/4,140.48
  6. Step 6: Final answer
    x = 3,543.68

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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.