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Finding the Fourth Proportional to 3,481.89, 5,224.85 and 1,292.12

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Solution

The fourth proportional to 3,481.89, 5,224.85 and 1,292.12 is: 1,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.89 : 5,224.85 = 1,292.12 : x
  2. Step 2: Convert to fraction form
    3,481.89/5,224.85 = 1,292.12/x
  3. Step 3: Cross multiply
    3,481.89x = 5,224.85 × 1,292.12
  4. Step 4: Simplify right side
    3,481.89x = 6,751,100.60
  5. Step 5: Solve for x
    x = 6,751,100.60/3,481.89
  6. Step 6: Final answer
    x = 1,938.92

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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.