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Finding the Fourth Proportional to 5,912.68, 8,157.22 and 3,428.20

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Solution

The fourth proportional to 5,912.68, 8,157.22 and 3,428.20 is: 4,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.68 : 8,157.22 = 3,428.20 : x
  2. Step 2: Convert to fraction form
    5,912.68/8,157.22 = 3,428.20/x
  3. Step 3: Cross multiply
    5,912.68x = 8,157.22 × 3,428.20
  4. Step 4: Simplify right side
    5,912.68x = 27,964,581.60
  5. Step 5: Solve for x
    x = 27,964,581.60/5,912.68
  6. Step 6: Final answer
    x = 4,729.59

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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.