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Finding the Fourth Proportional to 3,540.71, 5,311.07 and 1,348.55

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Solution

The fourth proportional to 3,540.71, 5,311.07 and 1,348.55 is: 2,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.71 : 5,311.07 = 1,348.55 : x
  2. Step 2: Convert to fraction form
    3,540.71/5,311.07 = 1,348.55/x
  3. Step 3: Cross multiply
    3,540.71x = 5,311.07 × 1,348.55
  4. Step 4: Simplify right side
    3,540.71x = 7,162,235.12
  5. Step 5: Solve for x
    x = 7,162,235.12/3,540.71
  6. Step 6: Final answer
    x = 2,022.82

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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.