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Finding the Fourth Proportional to 3,832.83, 5,747.31 and 1,367.28

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Solution

The fourth proportional to 3,832.83, 5,747.31 and 1,367.28 is: 2,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.83 : 5,747.31 = 1,367.28 : x
  2. Step 2: Convert to fraction form
    3,832.83/5,747.31 = 1,367.28/x
  3. Step 3: Cross multiply
    3,832.83x = 5,747.31 × 1,367.28
  4. Step 4: Simplify right side
    3,832.83x = 7,858,182.02
  5. Step 5: Solve for x
    x = 7,858,182.02/3,832.83
  6. Step 6: Final answer
    x = 2,050.23

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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.