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Finding the Fourth Proportional to 3,843.69, 5,304.48 and 2,351.14

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Solution

The fourth proportional to 3,843.69, 5,304.48 and 2,351.14 is: 3,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.69 : 5,304.48 = 2,351.14 : x
  2. Step 2: Convert to fraction form
    3,843.69/5,304.48 = 2,351.14/x
  3. Step 3: Cross multiply
    3,843.69x = 5,304.48 × 2,351.14
  4. Step 4: Simplify right side
    3,843.69x = 12,471,570.66
  5. Step 5: Solve for x
    x = 12,471,570.66/3,843.69
  6. Step 6: Final answer
    x = 3,244.69

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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.