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Finding the Fourth Proportional to 3,971.80, 5,481.42 and 2,203.84

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Solution

The fourth proportional to 3,971.80, 5,481.42 and 2,203.84 is: 3,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.80 : 5,481.42 = 2,203.84 : x
  2. Step 2: Convert to fraction form
    3,971.80/5,481.42 = 2,203.84/x
  3. Step 3: Cross multiply
    3,971.80x = 5,481.42 × 2,203.84
  4. Step 4: Simplify right side
    3,971.80x = 12,080,145.25
  5. Step 5: Solve for x
    x = 12,080,145.25/3,971.80
  6. Step 6: Final answer
    x = 3,041.48

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1.5x scale

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.