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Finding the Fourth Proportional to 3,757.96, 5,185.87 and 2,079.31

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Solution

The fourth proportional to 3,757.96, 5,185.87 and 2,079.31 is: 2,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.96 : 5,185.87 = 2,079.31 : x
  2. Step 2: Convert to fraction form
    3,757.96/5,185.87 = 2,079.31/x
  3. Step 3: Cross multiply
    3,757.96x = 5,185.87 × 2,079.31
  4. Step 4: Simplify right side
    3,757.96x = 10,783,031.35
  5. Step 5: Solve for x
    x = 10,783,031.35/3,757.96
  6. Step 6: Final answer
    x = 2,869.39

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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.