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Finding the Fourth Proportional to 5,293.45, 7,944.23 and 3,811.96

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Solution

The fourth proportional to 5,293.45, 7,944.23 and 3,811.96 is: 5,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.45 : 7,944.23 = 3,811.96 : x
  2. Step 2: Convert to fraction form
    5,293.45/7,944.23 = 3,811.96/x
  3. Step 3: Cross multiply
    5,293.45x = 7,944.23 × 3,811.96
  4. Step 4: Simplify right side
    5,293.45x = 30,283,086.99
  5. Step 5: Solve for x
    x = 30,283,086.99/5,293.45
  6. Step 6: Final answer
    x = 5,720.86

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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.