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Finding the Fourth Proportional to 3,836.87, 5,727.29 and 3,292.55

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Solution

The fourth proportional to 3,836.87, 5,727.29 and 3,292.55 is: 4,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.87 : 5,727.29 = 3,292.55 : x
  2. Step 2: Convert to fraction form
    3,836.87/5,727.29 = 3,292.55/x
  3. Step 3: Cross multiply
    3,836.87x = 5,727.29 × 3,292.55
  4. Step 4: Simplify right side
    3,836.87x = 18,857,374.37
  5. Step 5: Solve for x
    x = 18,857,374.37/3,836.87
  6. Step 6: Final answer
    x = 4,914.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.