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Finding the Fourth Proportional to 3,481.97, 5,223.16 and 1,401.96

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Solution

The fourth proportional to 3,481.97, 5,223.16 and 1,401.96 is: 2,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.97 : 5,223.16 = 1,401.96 : x
  2. Step 2: Convert to fraction form
    3,481.97/5,223.16 = 1,401.96/x
  3. Step 3: Cross multiply
    3,481.97x = 5,223.16 × 1,401.96
  4. Step 4: Simplify right side
    3,481.97x = 7,322,682.73
  5. Step 5: Solve for x
    x = 7,322,682.73/3,481.97
  6. Step 6: Final answer
    x = 2,103.03

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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.