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Finding the Fourth Proportional to 3,540.92, 5,311.37 and 943.85

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Solution

The fourth proportional to 3,540.92, 5,311.37 and 943.85 is: 1,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.92 : 5,311.37 = 943.85 : x
  2. Step 2: Convert to fraction form
    3,540.92/5,311.37 = 943.85/x
  3. Step 3: Cross multiply
    3,540.92x = 5,311.37 × 943.85
  4. Step 4: Simplify right side
    3,540.92x = 5,013,152.21
  5. Step 5: Solve for x
    x = 5,013,152.21/3,540.92
  6. Step 6: Final answer
    x = 1,415.78

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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.