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Finding the Fourth Proportional to 3,102.81, 4,286.23 and 2,822.55

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Solution

The fourth proportional to 3,102.81, 4,286.23 and 2,822.55 is: 3,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.81 : 4,286.23 = 2,822.55 : x
  2. Step 2: Convert to fraction form
    3,102.81/4,286.23 = 2,822.55/x
  3. Step 3: Cross multiply
    3,102.81x = 4,286.23 × 2,822.55
  4. Step 4: Simplify right side
    3,102.81x = 12,098,062.94
  5. Step 5: Solve for x
    x = 12,098,062.94/3,102.81
  6. Step 6: Final answer
    x = 3,899.07

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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.