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Finding the Fourth Proportional to 5,954.28, 8,213.15 and 3,832.58

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Solution

The fourth proportional to 5,954.28, 8,213.15 and 3,832.58 is: 5,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.28 : 8,213.15 = 3,832.58 : x
  2. Step 2: Convert to fraction form
    5,954.28/8,213.15 = 3,832.58/x
  3. Step 3: Cross multiply
    5,954.28x = 8,213.15 × 3,832.58
  4. Step 4: Simplify right side
    5,954.28x = 31,477,584.54
  5. Step 5: Solve for x
    x = 31,477,584.54/5,954.28
  6. Step 6: Final answer
    x = 5,286.55

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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.