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Finding the Fourth Proportional to 5,311.94, 7,993.26 and 4,381.65

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Solution

The fourth proportional to 5,311.94, 7,993.26 and 4,381.65 is: 6,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.94 : 7,993.26 = 4,381.65 : x
  2. Step 2: Convert to fraction form
    5,311.94/7,993.26 = 4,381.65/x
  3. Step 3: Cross multiply
    5,311.94x = 7,993.26 × 4,381.65
  4. Step 4: Simplify right side
    5,311.94x = 35,023,667.68
  5. Step 5: Solve for x
    x = 35,023,667.68/5,311.94
  6. Step 6: Final answer
    x = 6,593.39

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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.