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Finding the Fourth Proportional to 4,837.97, 7,260.20 and 1,759.97

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Solution

The fourth proportional to 4,837.97, 7,260.20 and 1,759.97 is: 2,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.97 : 7,260.20 = 1,759.97 : x
  2. Step 2: Convert to fraction form
    4,837.97/7,260.20 = 1,759.97/x
  3. Step 3: Cross multiply
    4,837.97x = 7,260.20 × 1,759.97
  4. Step 4: Simplify right side
    4,837.97x = 12,777,743.54
  5. Step 5: Solve for x
    x = 12,777,743.54/4,837.97
  6. Step 6: Final answer
    x = 2,641.14

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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.