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Finding the Fourth Proportional to 3,481.78, 5,222.67 and 2,031.06

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Solution

The fourth proportional to 3,481.78, 5,222.67 and 2,031.06 is: 3,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.78 : 5,222.67 = 2,031.06 : x
  2. Step 2: Convert to fraction form
    3,481.78/5,222.67 = 2,031.06/x
  3. Step 3: Cross multiply
    3,481.78x = 5,222.67 × 2,031.06
  4. Step 4: Simplify right side
    3,481.78x = 10,607,556.13
  5. Step 5: Solve for x
    x = 10,607,556.13/3,481.78
  6. Step 6: Final answer
    x = 3,046.59

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