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Finding the Fourth Proportional to 4,198.62, 6,295.09 and 2,351.01

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Solution

The fourth proportional to 4,198.62, 6,295.09 and 2,351.01 is: 3,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.62 : 6,295.09 = 2,351.01 : x
  2. Step 2: Convert to fraction form
    4,198.62/6,295.09 = 2,351.01/x
  3. Step 3: Cross multiply
    4,198.62x = 6,295.09 × 2,351.01
  4. Step 4: Simplify right side
    4,198.62x = 14,799,819.54
  5. Step 5: Solve for x
    x = 14,799,819.54/4,198.62
  6. Step 6: Final answer
    x = 3,524.92

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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.