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Finding the Fourth Proportional to 3,304.60, 4,956.90 and 2,138.20

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Solution

The fourth proportional to 3,304.60, 4,956.90 and 2,138.20 is: 3,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.60 : 4,956.90 = 2,138.20 : x
  2. Step 2: Convert to fraction form
    3,304.60/4,956.90 = 2,138.20/x
  3. Step 3: Cross multiply
    3,304.60x = 4,956.90 × 2,138.20
  4. Step 4: Simplify right side
    3,304.60x = 10,598,843.58
  5. Step 5: Solve for x
    x = 10,598,843.58/3,304.60
  6. Step 6: Final answer
    x = 3,207.30

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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.