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Finding the Fourth Proportional to 3,474.63, 4,794.90 and 1,982.52

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Solution

The fourth proportional to 3,474.63, 4,794.90 and 1,982.52 is: 2,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.63 : 4,794.90 = 1,982.52 : x
  2. Step 2: Convert to fraction form
    3,474.63/4,794.90 = 1,982.52/x
  3. Step 3: Cross multiply
    3,474.63x = 4,794.90 × 1,982.52
  4. Step 4: Simplify right side
    3,474.63x = 9,505,997.14
  5. Step 5: Solve for x
    x = 9,505,997.14/3,474.63
  6. Step 6: Final answer
    x = 2,735.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.