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Finding the Fourth Proportional to 3,843.38, 5,303.86 and 2,164.80

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Solution

The fourth proportional to 3,843.38, 5,303.86 and 2,164.80 is: 2,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.38 : 5,303.86 = 2,164.80 : x
  2. Step 2: Convert to fraction form
    3,843.38/5,303.86 = 2,164.80/x
  3. Step 3: Cross multiply
    3,843.38x = 5,303.86 × 2,164.80
  4. Step 4: Simplify right side
    3,843.38x = 11,481,780.77
  5. Step 5: Solve for x
    x = 11,481,780.77/3,843.38
  6. Step 6: Final answer
    x = 2,987.42

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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.