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Finding the Fourth Proportional to 4,230.69, 6,348.12 and 3,197.01

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Solution

The fourth proportional to 4,230.69, 6,348.12 and 3,197.01 is: 4,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.69 : 6,348.12 = 3,197.01 : x
  2. Step 2: Convert to fraction form
    4,230.69/6,348.12 = 3,197.01/x
  3. Step 3: Cross multiply
    4,230.69x = 6,348.12 × 3,197.01
  4. Step 4: Simplify right side
    4,230.69x = 20,295,003.12
  5. Step 5: Solve for x
    x = 20,295,003.12/4,230.69
  6. Step 6: Final answer
    x = 4,797.09

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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.