Home / 3,832.14-5,745.30-1,982.08

Finding the Fourth Proportional to 3,832.14, 5,745.30 and 1,982.08

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Solution

The fourth proportional to 3,832.14, 5,745.30 and 1,982.08 is: 2,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.14 : 5,745.30 = 1,982.08 : x
  2. Step 2: Convert to fraction form
    3,832.14/5,745.30 = 1,982.08/x
  3. Step 3: Cross multiply
    3,832.14x = 5,745.30 × 1,982.08
  4. Step 4: Simplify right side
    3,832.14x = 11,387,644.22
  5. Step 5: Solve for x
    x = 11,387,644.22/3,832.14
  6. Step 6: Final answer
    x = 2,971.61

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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.