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Finding the Fourth Proportional to 3,839.26, 5,757.42 and 1,241.50

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Solution

The fourth proportional to 3,839.26, 5,757.42 and 1,241.50 is: 1,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.26 : 5,757.42 = 1,241.50 : x
  2. Step 2: Convert to fraction form
    3,839.26/5,757.42 = 1,241.50/x
  3. Step 3: Cross multiply
    3,839.26x = 5,757.42 × 1,241.50
  4. Step 4: Simplify right side
    3,839.26x = 7,147,836.93
  5. Step 5: Solve for x
    x = 7,147,836.93/3,839.26
  6. Step 6: Final answer
    x = 1,861.77

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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.