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Finding the Fourth Proportional to 3,843.86, 5,304.02 and 2,352.24

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Solution

The fourth proportional to 3,843.86, 5,304.02 and 2,352.24 is: 3,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.86 : 5,304.02 = 2,352.24 : x
  2. Step 2: Convert to fraction form
    3,843.86/5,304.02 = 2,352.24/x
  3. Step 3: Cross multiply
    3,843.86x = 5,304.02 × 2,352.24
  4. Step 4: Simplify right side
    3,843.86x = 12,476,316.24
  5. Step 5: Solve for x
    x = 12,476,316.24/3,843.86
  6. Step 6: Final answer
    x = 3,245.78

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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.