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Finding the Fourth Proportional to 3,676.34, 5,074.23 and 2,105.34

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Solution

The fourth proportional to 3,676.34, 5,074.23 and 2,105.34 is: 2,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.34 : 5,074.23 = 2,105.34 : x
  2. Step 2: Convert to fraction form
    3,676.34/5,074.23 = 2,105.34/x
  3. Step 3: Cross multiply
    3,676.34x = 5,074.23 × 2,105.34
  4. Step 4: Simplify right side
    3,676.34x = 10,682,979.39
  5. Step 5: Solve for x
    x = 10,682,979.39/3,676.34
  6. Step 6: Final answer
    x = 2,905.88

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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.