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Finding the Fourth Proportional to 3,843.39, 5,303.88 and 2,164.80

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Solution

The fourth proportional to 3,843.39, 5,303.88 and 2,164.80 is: 2,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.39 : 5,303.88 = 2,164.80 : x
  2. Step 2: Convert to fraction form
    3,843.39/5,303.88 = 2,164.80/x
  3. Step 3: Cross multiply
    3,843.39x = 5,303.88 × 2,164.80
  4. Step 4: Simplify right side
    3,843.39x = 11,481,839.42
  5. Step 5: Solve for x
    x = 11,481,839.42/3,843.39
  6. Step 6: Final answer
    x = 2,987.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.