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Finding the Fourth Proportional to 3,676.35, 5,073.35 and 1,997.75

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Solution

The fourth proportional to 3,676.35, 5,073.35 and 1,997.75 is: 2,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.35 : 5,073.35 = 1,997.75 : x
  2. Step 2: Convert to fraction form
    3,676.35/5,073.35 = 1,997.75/x
  3. Step 3: Cross multiply
    3,676.35x = 5,073.35 × 1,997.75
  4. Step 4: Simplify right side
    3,676.35x = 10,135,287.66
  5. Step 5: Solve for x
    x = 10,135,287.66/3,676.35
  6. Step 6: Final answer
    x = 2,756.89

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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.