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Finding the Fourth Proportional to 3,027.27, 4,536.92 and 2,829.97

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Solution

The fourth proportional to 3,027.27, 4,536.92 and 2,829.97 is: 4,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.27 : 4,536.92 = 2,829.97 : x
  2. Step 2: Convert to fraction form
    3,027.27/4,536.92 = 2,829.97/x
  3. Step 3: Cross multiply
    3,027.27x = 4,536.92 × 2,829.97
  4. Step 4: Simplify right side
    3,027.27x = 12,839,343.23
  5. Step 5: Solve for x
    x = 12,839,343.23/3,027.27
  6. Step 6: Final answer
    x = 4,241.23

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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.