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Finding the Fourth Proportional to 3,796.56, 5,235.12 and 2,467.80

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Solution

The fourth proportional to 3,796.56, 5,235.12 and 2,467.80 is: 3,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.56 : 5,235.12 = 2,467.80 : x
  2. Step 2: Convert to fraction form
    3,796.56/5,235.12 = 2,467.80/x
  3. Step 3: Cross multiply
    3,796.56x = 5,235.12 × 2,467.80
  4. Step 4: Simplify right side
    3,796.56x = 12,919,229.14
  5. Step 5: Solve for x
    x = 12,919,229.14/3,796.56
  6. Step 6: Final answer
    x = 3,402.88

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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.