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Finding the Fourth Proportional to 3,906.40, 5,843.40 and 3,323.20

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Solution

The fourth proportional to 3,906.40, 5,843.40 and 3,323.20 is: 4,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.40 : 5,843.40 = 3,323.20 : x
  2. Step 2: Convert to fraction form
    3,906.40/5,843.40 = 3,323.20/x
  3. Step 3: Cross multiply
    3,906.40x = 5,843.40 × 3,323.20
  4. Step 4: Simplify right side
    3,906.40x = 19,418,786.88
  5. Step 5: Solve for x
    x = 19,418,786.88/3,906.40
  6. Step 6: Final answer
    x = 4,971.02

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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.