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Finding the Fourth Proportional to 3,843.26, 5,304.39 and 3,013.82

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Solution

The fourth proportional to 3,843.26, 5,304.39 and 3,013.82 is: 4,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.26 : 5,304.39 = 3,013.82 : x
  2. Step 2: Convert to fraction form
    3,843.26/5,304.39 = 3,013.82/x
  3. Step 3: Cross multiply
    3,843.26x = 5,304.39 × 3,013.82
  4. Step 4: Simplify right side
    3,843.26x = 15,986,476.67
  5. Step 5: Solve for x
    x = 15,986,476.67/3,843.26
  6. Step 6: Final answer
    x = 4,159.61

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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.