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Finding the Fourth Proportional to 3,832.20, 5,745.39 and 1,982.14

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Solution

The fourth proportional to 3,832.20, 5,745.39 and 1,982.14 is: 2,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.20 : 5,745.39 = 1,982.14 : x
  2. Step 2: Convert to fraction form
    3,832.20/5,745.39 = 1,982.14/x
  3. Step 3: Cross multiply
    3,832.20x = 5,745.39 × 1,982.14
  4. Step 4: Simplify right side
    3,832.20x = 11,388,174.52
  5. Step 5: Solve for x
    x = 11,388,174.52/3,832.20
  6. Step 6: Final answer
    x = 2,971.70

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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.