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Finding the Fourth Proportional to 4,196.98, 6,287.27 and 3,218.30

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Solution

The fourth proportional to 4,196.98, 6,287.27 and 3,218.30 is: 4,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.98 : 6,287.27 = 3,218.30 : x
  2. Step 2: Convert to fraction form
    4,196.98/6,287.27 = 3,218.30/x
  3. Step 3: Cross multiply
    4,196.98x = 6,287.27 × 3,218.30
  4. Step 4: Simplify right side
    4,196.98x = 20,234,297.09
  5. Step 5: Solve for x
    x = 20,234,297.09/4,196.98
  6. Step 6: Final answer
    x = 4,821.15

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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.