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Finding the Fourth Proportional to 4,183.94, 6,268.87 and 2,334

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Solution

The fourth proportional to 4,183.94, 6,268.87 and 2,334 is: 3,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.94 : 6,268.87 = 2,334 : x
  2. Step 2: Convert to fraction form
    4,183.94/6,268.87 = 2,334/x
  3. Step 3: Cross multiply
    4,183.94x = 6,268.87 × 2,334
  4. Step 4: Simplify right side
    4,183.94x = 14,631,542.58
  5. Step 5: Solve for x
    x = 14,631,542.58/4,183.94
  6. Step 6: Final answer
    x = 3,497.07

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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.