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Finding the Fourth Proportional to 3,540.30, 5,313.69 and 2,568.30

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Solution

The fourth proportional to 3,540.30, 5,313.69 and 2,568.30 is: 3,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.30 : 5,313.69 = 2,568.30 : x
  2. Step 2: Convert to fraction form
    3,540.30/5,313.69 = 2,568.30/x
  3. Step 3: Cross multiply
    3,540.30x = 5,313.69 × 2,568.30
  4. Step 4: Simplify right side
    3,540.30x = 13,647,150.03
  5. Step 5: Solve for x
    x = 13,647,150.03/3,540.30
  6. Step 6: Final answer
    x = 3,854.80

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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.