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Finding the Fourth Proportional to 4,202.27, 5,797.13 and 2,709.44

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Solution

The fourth proportional to 4,202.27, 5,797.13 and 2,709.44 is: 3,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.27 : 5,797.13 = 2,709.44 : x
  2. Step 2: Convert to fraction form
    4,202.27/5,797.13 = 2,709.44/x
  3. Step 3: Cross multiply
    4,202.27x = 5,797.13 × 2,709.44
  4. Step 4: Simplify right side
    4,202.27x = 15,706,933.37
  5. Step 5: Solve for x
    x = 15,706,933.37/4,202.27
  6. Step 6: Final answer
    x = 3,737.73

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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.