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Finding the Fourth Proportional to 4,078.80, 6,116.64 and 1,304.88

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Solution

The fourth proportional to 4,078.80, 6,116.64 and 1,304.88 is: 1,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.80 : 6,116.64 = 1,304.88 : x
  2. Step 2: Convert to fraction form
    4,078.80/6,116.64 = 1,304.88/x
  3. Step 3: Cross multiply
    4,078.80x = 6,116.64 × 1,304.88
  4. Step 4: Simplify right side
    4,078.80x = 7,981,481.20
  5. Step 5: Solve for x
    x = 7,981,481.20/4,078.80
  6. Step 6: Final answer
    x = 1,956.82

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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.