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Finding the Fourth Proportional to 2,863.81, 3,956.34 and 2,728.81

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Solution

The fourth proportional to 2,863.81, 3,956.34 and 2,728.81 is: 3,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.81 : 3,956.34 = 2,728.81 : x
  2. Step 2: Convert to fraction form
    2,863.81/3,956.34 = 2,728.81/x
  3. Step 3: Cross multiply
    2,863.81x = 3,956.34 × 2,728.81
  4. Step 4: Simplify right side
    2,863.81x = 10,796,100.16
  5. Step 5: Solve for x
    x = 10,796,100.16/2,863.81
  6. Step 6: Final answer
    x = 3,769.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.