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Finding the Fourth Proportional to 4,224.76, 6,338.99 and 2,274.68

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Solution

The fourth proportional to 4,224.76, 6,338.99 and 2,274.68 is: 3,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.76 : 6,338.99 = 2,274.68 : x
  2. Step 2: Convert to fraction form
    4,224.76/6,338.99 = 2,274.68/x
  3. Step 3: Cross multiply
    4,224.76x = 6,338.99 × 2,274.68
  4. Step 4: Simplify right side
    4,224.76x = 14,419,195.31
  5. Step 5: Solve for x
    x = 14,419,195.31/4,224.76
  6. Step 6: Final answer
    x = 3,413.02

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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.