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Finding the Fourth Proportional to 5,453.84, 8,178.20 and 3,234.96

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Solution

The fourth proportional to 5,453.84, 8,178.20 and 3,234.96 is: 4,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.84 : 8,178.20 = 3,234.96 : x
  2. Step 2: Convert to fraction form
    5,453.84/8,178.20 = 3,234.96/x
  3. Step 3: Cross multiply
    5,453.84x = 8,178.20 × 3,234.96
  4. Step 4: Simplify right side
    5,453.84x = 26,456,149.87
  5. Step 5: Solve for x
    x = 26,456,149.87/5,453.84
  6. Step 6: Final answer
    x = 4,850.92

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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.