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Finding the Fourth Proportional to 3,481.36, 5,221.96 and 884.29

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Solution

The fourth proportional to 3,481.36, 5,221.96 and 884.29 is: 1,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.36 : 5,221.96 = 884.29 : x
  2. Step 2: Convert to fraction form
    3,481.36/5,221.96 = 884.29/x
  3. Step 3: Cross multiply
    3,481.36x = 5,221.96 × 884.29
  4. Step 4: Simplify right side
    3,481.36x = 4,617,727.01
  5. Step 5: Solve for x
    x = 4,617,727.01/3,481.36
  6. Step 6: Final answer
    x = 1,326.41

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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.