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Finding the Fourth Proportional to 3,354.66, 5,034.29 and 1,163.39

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Solution

The fourth proportional to 3,354.66, 5,034.29 and 1,163.39 is: 1,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.66 : 5,034.29 = 1,163.39 : x
  2. Step 2: Convert to fraction form
    3,354.66/5,034.29 = 1,163.39/x
  3. Step 3: Cross multiply
    3,354.66x = 5,034.29 × 1,163.39
  4. Step 4: Simplify right side
    3,354.66x = 5,856,842.64
  5. Step 5: Solve for x
    x = 5,856,842.64/3,354.66
  6. Step 6: Final answer
    x = 1,745.88

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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.