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Finding the Fourth Proportional to 3,481.95, 5,224.97 and 1,292.20

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Solution

The fourth proportional to 3,481.95, 5,224.97 and 1,292.20 is: 1,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.95 : 5,224.97 = 1,292.20 : x
  2. Step 2: Convert to fraction form
    3,481.95/5,224.97 = 1,292.20/x
  3. Step 3: Cross multiply
    3,481.95x = 5,224.97 × 1,292.20
  4. Step 4: Simplify right side
    3,481.95x = 6,751,706.23
  5. Step 5: Solve for x
    x = 6,751,706.23/3,481.95
  6. Step 6: Final answer
    x = 1,939.06

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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.