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Finding the Fourth Proportional to 3,682.44, 5,081.68 and 2,003.82

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Solution

The fourth proportional to 3,682.44, 5,081.68 and 2,003.82 is: 2,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.44 : 5,081.68 = 2,003.82 : x
  2. Step 2: Convert to fraction form
    3,682.44/5,081.68 = 2,003.82/x
  3. Step 3: Cross multiply
    3,682.44x = 5,081.68 × 2,003.82
  4. Step 4: Simplify right side
    3,682.44x = 10,182,772.02
  5. Step 5: Solve for x
    x = 10,182,772.02/3,682.44
  6. Step 6: Final answer
    x = 2,765.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.