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Finding the Fourth Proportional to 5,408.39, 8,113.16 and 2,288.71

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Solution

The fourth proportional to 5,408.39, 8,113.16 and 2,288.71 is: 3,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.39 : 8,113.16 = 2,288.71 : x
  2. Step 2: Convert to fraction form
    5,408.39/8,113.16 = 2,288.71/x
  3. Step 3: Cross multiply
    5,408.39x = 8,113.16 × 2,288.71
  4. Step 4: Simplify right side
    5,408.39x = 18,568,670.42
  5. Step 5: Solve for x
    x = 18,568,670.42/5,408.39
  6. Step 6: Final answer
    x = 3,433.31

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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.