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Finding the Fourth Proportional to 2,855.52, 3,939.48 and 2,111.27

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Solution

The fourth proportional to 2,855.52, 3,939.48 and 2,111.27 is: 2,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.52 : 3,939.48 = 2,111.27 : x
  2. Step 2: Convert to fraction form
    2,855.52/3,939.48 = 2,111.27/x
  3. Step 3: Cross multiply
    2,855.52x = 3,939.48 × 2,111.27
  4. Step 4: Simplify right side
    2,855.52x = 8,317,286.24
  5. Step 5: Solve for x
    x = 8,317,286.24/2,855.52
  6. Step 6: Final answer
    x = 2,912.70

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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.