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Finding the Fourth Proportional to 3,843.56, 5,304.11 and 2,164.97

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Solution

The fourth proportional to 3,843.56, 5,304.11 and 2,164.97 is: 2,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.56 : 5,304.11 = 2,164.97 : x
  2. Step 2: Convert to fraction form
    3,843.56/5,304.11 = 2,164.97/x
  3. Step 3: Cross multiply
    3,843.56x = 5,304.11 × 2,164.97
  4. Step 4: Simplify right side
    3,843.56x = 11,483,201.68
  5. Step 5: Solve for x
    x = 11,483,201.68/3,843.56
  6. Step 6: Final answer
    x = 2,987.65

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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.