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Finding the Fourth Proportional to 3,327.27, 4,991.19 and 862.08

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Solution

The fourth proportional to 3,327.27, 4,991.19 and 862.08 is: 1,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.27 : 4,991.19 = 862.08 : x
  2. Step 2: Convert to fraction form
    3,327.27/4,991.19 = 862.08/x
  3. Step 3: Cross multiply
    3,327.27x = 4,991.19 × 862.08
  4. Step 4: Simplify right side
    3,327.27x = 4,302,805.08
  5. Step 5: Solve for x
    x = 4,302,805.08/3,327.27
  6. Step 6: Final answer
    x = 1,293.19

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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.