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Finding the Fourth Proportional to 6,198.23, 8,552.26 and 3,679.99

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Solution

The fourth proportional to 6,198.23, 8,552.26 and 3,679.99 is: 5,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.23 : 8,552.26 = 3,679.99 : x
  2. Step 2: Convert to fraction form
    6,198.23/8,552.26 = 3,679.99/x
  3. Step 3: Cross multiply
    6,198.23x = 8,552.26 × 3,679.99
  4. Step 4: Simplify right side
    6,198.23x = 31,472,231.28
  5. Step 5: Solve for x
    x = 31,472,231.28/6,198.23
  6. Step 6: Final answer
    x = 5,077.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.