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Finding the Fourth Proportional to 4,226.69, 6,330.81 and 2,578.24

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Solution

The fourth proportional to 4,226.69, 6,330.81 and 2,578.24 is: 3,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.69 : 6,330.81 = 2,578.24 : x
  2. Step 2: Convert to fraction form
    4,226.69/6,330.81 = 2,578.24/x
  3. Step 3: Cross multiply
    4,226.69x = 6,330.81 × 2,578.24
  4. Step 4: Simplify right side
    4,226.69x = 16,322,347.57
  5. Step 5: Solve for x
    x = 16,322,347.57/4,226.69
  6. Step 6: Final answer
    x = 3,861.73

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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.