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Finding the Fourth Proportional to 4,000.96, 5,992.70 and 3,299.76

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Solution

The fourth proportional to 4,000.96, 5,992.70 and 3,299.76 is: 4,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.96 : 5,992.70 = 3,299.76 : x
  2. Step 2: Convert to fraction form
    4,000.96/5,992.70 = 3,299.76/x
  3. Step 3: Cross multiply
    4,000.96x = 5,992.70 × 3,299.76
  4. Step 4: Simplify right side
    4,000.96x = 19,774,471.75
  5. Step 5: Solve for x
    x = 19,774,471.75/4,000.96
  6. Step 6: Final answer
    x = 4,942.43

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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.