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Finding the Fourth Proportional to 5,965.36, 8,964.24 and 3,194.08

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Solution

The fourth proportional to 5,965.36, 8,964.24 and 3,194.08 is: 4,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.36 : 8,964.24 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    5,965.36/8,964.24 = 3,194.08/x
  3. Step 3: Cross multiply
    5,965.36x = 8,964.24 × 3,194.08
  4. Step 4: Simplify right side
    5,965.36x = 28,632,499.70
  5. Step 5: Solve for x
    x = 28,632,499.70/5,965.36
  6. Step 6: Final answer
    x = 4,799.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.