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Finding the Fourth Proportional to 5,964.05, 8,229.87 and 3,274.83

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Solution

The fourth proportional to 5,964.05, 8,229.87 and 3,274.83 is: 4,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.05 : 8,229.87 = 3,274.83 : x
  2. Step 2: Convert to fraction form
    5,964.05/8,229.87 = 3,274.83/x
  3. Step 3: Cross multiply
    5,964.05x = 8,229.87 × 3,274.83
  4. Step 4: Simplify right side
    5,964.05x = 26,951,425.17
  5. Step 5: Solve for x
    x = 26,951,425.17/5,964.05
  6. Step 6: Final answer
    x = 4,518.98

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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.