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Finding the Fourth Proportional to 6,304.62, 8,705.01 and 4,067.81

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Solution

The fourth proportional to 6,304.62, 8,705.01 and 4,067.81 is: 5,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.62 : 8,705.01 = 4,067.81 : x
  2. Step 2: Convert to fraction form
    6,304.62/8,705.01 = 4,067.81/x
  3. Step 3: Cross multiply
    6,304.62x = 8,705.01 × 4,067.81
  4. Step 4: Simplify right side
    6,304.62x = 35,410,283.20
  5. Step 5: Solve for x
    x = 35,410,283.20/6,304.62
  6. Step 6: Final answer
    x = 5,616.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.