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Finding the Fourth Proportional to 4,195.09, 6,304.17 and 3,920.80

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Solution

The fourth proportional to 4,195.09, 6,304.17 and 3,920.80 is: 5,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.09 : 6,304.17 = 3,920.80 : x
  2. Step 2: Convert to fraction form
    4,195.09/6,304.17 = 3,920.80/x
  3. Step 3: Cross multiply
    4,195.09x = 6,304.17 × 3,920.80
  4. Step 4: Simplify right side
    4,195.09x = 24,717,349.90
  5. Step 5: Solve for x
    x = 24,717,349.90/4,195.09
  6. Step 6: Final answer
    x = 5,891.97

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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.