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Finding the Fourth Proportional to 3,469.96, 5,198.70 and 2,978.44

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Solution

The fourth proportional to 3,469.96, 5,198.70 and 2,978.44 is: 4,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.96 : 5,198.70 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    3,469.96/5,198.70 = 2,978.44/x
  3. Step 3: Cross multiply
    3,469.96x = 5,198.70 × 2,978.44
  4. Step 4: Simplify right side
    3,469.96x = 15,484,016.03
  5. Step 5: Solve for x
    x = 15,484,016.03/3,469.96
  6. Step 6: Final answer
    x = 4,462.30

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1.5x scale

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.