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Finding the Fourth Proportional to 3,540.85, 5,311.28 and 943.79

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Solution

The fourth proportional to 3,540.85, 5,311.28 and 943.79 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.85 : 5,311.28 = 943.79 : x
  2. Step 2: Convert to fraction form
    3,540.85/5,311.28 = 943.79/x
  3. Step 3: Cross multiply
    3,540.85x = 5,311.28 × 943.79
  4. Step 4: Simplify right side
    3,540.85x = 5,012,708.75
  5. Step 5: Solve for x
    x = 5,012,708.75/3,540.85
  6. Step 6: Final answer
    x = 1,415.68

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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.