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Finding the Fourth Proportional to 5,872.81, 8,806.42 and 3,408.39

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Solution

The fourth proportional to 5,872.81, 8,806.42 and 3,408.39 is: 5,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.81 : 8,806.42 = 3,408.39 : x
  2. Step 2: Convert to fraction form
    5,872.81/8,806.42 = 3,408.39/x
  3. Step 3: Cross multiply
    5,872.81x = 8,806.42 × 3,408.39
  4. Step 4: Simplify right side
    5,872.81x = 30,015,713.86
  5. Step 5: Solve for x
    x = 30,015,713.86/5,872.81
  6. Step 6: Final answer
    x = 5,110.96

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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.