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Finding the Fourth Proportional to 3,474.74, 5,215.26 and 1,832.42

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Solution

The fourth proportional to 3,474.74, 5,215.26 and 1,832.42 is: 2,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.74 : 5,215.26 = 1,832.42 : x
  2. Step 2: Convert to fraction form
    3,474.74/5,215.26 = 1,832.42/x
  3. Step 3: Cross multiply
    3,474.74x = 5,215.26 × 1,832.42
  4. Step 4: Simplify right side
    3,474.74x = 9,556,546.73
  5. Step 5: Solve for x
    x = 9,556,546.73/3,474.74
  6. Step 6: Final answer
    x = 2,750.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.