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Finding the Fourth Proportional to 3,805.56, 5,694.84 and 2,241

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Solution

The fourth proportional to 3,805.56, 5,694.84 and 2,241 is: 3,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.56 : 5,694.84 = 2,241 : x
  2. Step 2: Convert to fraction form
    3,805.56/5,694.84 = 2,241/x
  3. Step 3: Cross multiply
    3,805.56x = 5,694.84 × 2,241
  4. Step 4: Simplify right side
    3,805.56x = 12,762,136.44
  5. Step 5: Solve for x
    x = 12,762,136.44/3,805.56
  6. Step 6: Final answer
    x = 3,353.55

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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.