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Finding the Fourth Proportional to 3,354.52, 5,032.14 and 1,163.80

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Solution

The fourth proportional to 3,354.52, 5,032.14 and 1,163.80 is: 1,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.52 : 5,032.14 = 1,163.80 : x
  2. Step 2: Convert to fraction form
    3,354.52/5,032.14 = 1,163.80/x
  3. Step 3: Cross multiply
    3,354.52x = 5,032.14 × 1,163.80
  4. Step 4: Simplify right side
    3,354.52x = 5,856,404.53
  5. Step 5: Solve for x
    x = 5,856,404.53/3,354.52
  6. Step 6: Final answer
    x = 1,745.82

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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.