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Finding the Fourth Proportional to 3,827.84, 5,727.26 and 2,268.68

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Solution

The fourth proportional to 3,827.84, 5,727.26 and 2,268.68 is: 3,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.84 : 5,727.26 = 2,268.68 : x
  2. Step 2: Convert to fraction form
    3,827.84/5,727.26 = 2,268.68/x
  3. Step 3: Cross multiply
    3,827.84x = 5,727.26 × 2,268.68
  4. Step 4: Simplify right side
    3,827.84x = 12,993,320.22
  5. Step 5: Solve for x
    x = 12,993,320.22/3,827.84
  6. Step 6: Final answer
    x = 3,394.43

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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.