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Finding the Fourth Proportional to 3,304.44, 4,956.66 and 839.25

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Solution

The fourth proportional to 3,304.44, 4,956.66 and 839.25 is: 1,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.44 : 4,956.66 = 839.25 : x
  2. Step 2: Convert to fraction form
    3,304.44/4,956.66 = 839.25/x
  3. Step 3: Cross multiply
    3,304.44x = 4,956.66 × 839.25
  4. Step 4: Simplify right side
    3,304.44x = 4,159,876.91
  5. Step 5: Solve for x
    x = 4,159,876.91/3,304.44
  6. Step 6: Final answer
    x = 1,258.88

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Why These Related Problems?

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