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Finding the Fourth Proportional to 3,947.33, 5,922.75 and 2,098

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Solution

The fourth proportional to 3,947.33, 5,922.75 and 2,098 is: 3,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.33 : 5,922.75 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,947.33/5,922.75 = 2,098/x
  3. Step 3: Cross multiply
    3,947.33x = 5,922.75 × 2,098
  4. Step 4: Simplify right side
    3,947.33x = 12,425,929.50
  5. Step 5: Solve for x
    x = 12,425,929.50/3,947.33
  6. Step 6: Final answer
    x = 3,147.93

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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.