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Finding the Fourth Proportional to 3,956.28, 5,466.96 and 3,828.12

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Solution

The fourth proportional to 3,956.28, 5,466.96 and 3,828.12 is: 5,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.28 : 5,466.96 = 3,828.12 : x
  2. Step 2: Convert to fraction form
    3,956.28/5,466.96 = 3,828.12/x
  3. Step 3: Cross multiply
    3,956.28x = 5,466.96 × 3,828.12
  4. Step 4: Simplify right side
    3,956.28x = 20,928,178.92
  5. Step 5: Solve for x
    x = 20,928,178.92/3,956.28
  6. Step 6: Final answer
    x = 5,289.86

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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.