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Finding the Fourth Proportional to 4,143.54, 6,217.74 and 3,822.78

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Solution

The fourth proportional to 4,143.54, 6,217.74 and 3,822.78 is: 5,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.54 : 6,217.74 = 3,822.78 : x
  2. Step 2: Convert to fraction form
    4,143.54/6,217.74 = 3,822.78/x
  3. Step 3: Cross multiply
    4,143.54x = 6,217.74 × 3,822.78
  4. Step 4: Simplify right side
    4,143.54x = 23,769,052.12
  5. Step 5: Solve for x
    x = 23,769,052.12/4,143.54
  6. Step 6: Final answer
    x = 5,736.41

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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.