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Finding the Fourth Proportional to 3,540.78, 5,311.17 and 1,201.02

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Solution

The fourth proportional to 3,540.78, 5,311.17 and 1,201.02 is: 1,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.78 : 5,311.17 = 1,201.02 : x
  2. Step 2: Convert to fraction form
    3,540.78/5,311.17 = 1,201.02/x
  3. Step 3: Cross multiply
    3,540.78x = 5,311.17 × 1,201.02
  4. Step 4: Simplify right side
    3,540.78x = 6,378,809.57
  5. Step 5: Solve for x
    x = 6,378,809.57/3,540.78
  6. Step 6: Final answer
    x = 1,801.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.