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Finding the Fourth Proportional to 4,198.22, 6,297.30 and 2,000.30

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Solution

The fourth proportional to 4,198.22, 6,297.30 and 2,000.30 is: 3,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.22 : 6,297.30 = 2,000.30 : x
  2. Step 2: Convert to fraction form
    4,198.22/6,297.30 = 2,000.30/x
  3. Step 3: Cross multiply
    4,198.22x = 6,297.30 × 2,000.30
  4. Step 4: Simplify right side
    4,198.22x = 12,596,489.19
  5. Step 5: Solve for x
    x = 12,596,489.19/4,198.22
  6. Step 6: Final answer
    x = 3,000.44

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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.