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Finding the Fourth Proportional to 3,934.26, 5,394.09 and 3,864.06

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Solution

The fourth proportional to 3,934.26, 5,394.09 and 3,864.06 is: 5,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.26 : 5,394.09 = 3,864.06 : x
  2. Step 2: Convert to fraction form
    3,934.26/5,394.09 = 3,864.06/x
  3. Step 3: Cross multiply
    3,934.26x = 5,394.09 × 3,864.06
  4. Step 4: Simplify right side
    3,934.26x = 20,843,087.41
  5. Step 5: Solve for x
    x = 20,843,087.41/3,934.26
  6. Step 6: Final answer
    x = 5,297.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.