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Finding the Fourth Proportional to 3,757.52, 5,189.82 and 2,817.42

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Solution

The fourth proportional to 3,757.52, 5,189.82 and 2,817.42 is: 3,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.52 : 5,189.82 = 2,817.42 : x
  2. Step 2: Convert to fraction form
    3,757.52/5,189.82 = 2,817.42/x
  3. Step 3: Cross multiply
    3,757.52x = 5,189.82 × 2,817.42
  4. Step 4: Simplify right side
    3,757.52x = 14,621,902.66
  5. Step 5: Solve for x
    x = 14,621,902.66/3,757.52
  6. Step 6: Final answer
    x = 3,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.