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Finding the Fourth Proportional to 3,481.22, 5,223.33 and 1,289.49

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Solution

The fourth proportional to 3,481.22, 5,223.33 and 1,289.49 is: 1,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.22 : 5,223.33 = 1,289.49 : x
  2. Step 2: Convert to fraction form
    3,481.22/5,223.33 = 1,289.49/x
  3. Step 3: Cross multiply
    3,481.22x = 5,223.33 × 1,289.49
  4. Step 4: Simplify right side
    3,481.22x = 6,735,431.80
  5. Step 5: Solve for x
    x = 6,735,431.80/3,481.22
  6. Step 6: Final answer
    x = 1,934.79

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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.