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Finding the Fourth Proportional to 2,773.28, 3,827.42 and 2,687.24

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Solution

The fourth proportional to 2,773.28, 3,827.42 and 2,687.24 is: 3,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.28 : 3,827.42 = 2,687.24 : x
  2. Step 2: Convert to fraction form
    2,773.28/3,827.42 = 2,687.24/x
  3. Step 3: Cross multiply
    2,773.28x = 3,827.42 × 2,687.24
  4. Step 4: Simplify right side
    2,773.28x = 10,285,163.55
  5. Step 5: Solve for x
    x = 10,285,163.55/2,773.28
  6. Step 6: Final answer
    x = 3,708.67

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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.