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Finding the Fourth Proportional to 4,198.30, 6,292.05 and 2,002.30

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Solution

The fourth proportional to 4,198.30, 6,292.05 and 2,002.30 is: 3,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.30 : 6,292.05 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    4,198.30/6,292.05 = 2,002.30/x
  3. Step 3: Cross multiply
    4,198.30x = 6,292.05 × 2,002.30
  4. Step 4: Simplify right side
    4,198.30x = 12,598,571.72
  5. Step 5: Solve for x
    x = 12,598,571.72/4,198.30
  6. Step 6: Final answer
    x = 3,000.87

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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.