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Finding the Fourth Proportional to 3,834.24, 5,747 and 1,727.59

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Solution

The fourth proportional to 3,834.24, 5,747 and 1,727.59 is: 2,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.24 : 5,747 = 1,727.59 : x
  2. Step 2: Convert to fraction form
    3,834.24/5,747 = 1,727.59/x
  3. Step 3: Cross multiply
    3,834.24x = 5,747 × 1,727.59
  4. Step 4: Simplify right side
    3,834.24x = 9,928,459.73
  5. Step 5: Solve for x
    x = 9,928,459.73/3,834.24
  6. Step 6: Final answer
    x = 2,589.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.