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Finding the Fourth Proportional to 3,474.88, 4,794.72 and 1,982.56

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Solution

The fourth proportional to 3,474.88, 4,794.72 and 1,982.56 is: 2,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.88 : 4,794.72 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    3,474.88/4,794.72 = 1,982.56/x
  3. Step 3: Cross multiply
    3,474.88x = 4,794.72 × 1,982.56
  4. Step 4: Simplify right side
    3,474.88x = 9,505,820.08
  5. Step 5: Solve for x
    x = 9,505,820.08/3,474.88
  6. Step 6: Final answer
    x = 2,735.58

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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.