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Finding the Fourth Proportional to 3,822.02, 5,735.16 and 2,067

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Solution

The fourth proportional to 3,822.02, 5,735.16 and 2,067 is: 3,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.02 : 5,735.16 = 2,067 : x
  2. Step 2: Convert to fraction form
    3,822.02/5,735.16 = 2,067/x
  3. Step 3: Cross multiply
    3,822.02x = 5,735.16 × 2,067
  4. Step 4: Simplify right side
    3,822.02x = 11,854,575.72
  5. Step 5: Solve for x
    x = 11,854,575.72/3,822.02
  6. Step 6: Final answer
    x = 3,101.65

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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.