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Finding the Fourth Proportional to 3,304.26, 4,956.39 and 839.27

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Solution

The fourth proportional to 3,304.26, 4,956.39 and 839.27 is: 1,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.26 : 4,956.39 = 839.27 : x
  2. Step 2: Convert to fraction form
    3,304.26/4,956.39 = 839.27/x
  3. Step 3: Cross multiply
    3,304.26x = 4,956.39 × 839.27
  4. Step 4: Simplify right side
    3,304.26x = 4,159,724.65
  5. Step 5: Solve for x
    x = 4,159,724.65/3,304.26
  6. Step 6: Final answer
    x = 1,258.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.