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Finding the Fourth Proportional to 3,455.49, 5,178.60 and 3,234.05

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Solution

The fourth proportional to 3,455.49, 5,178.60 and 3,234.05 is: 4,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.49 : 5,178.60 = 3,234.05 : x
  2. Step 2: Convert to fraction form
    3,455.49/5,178.60 = 3,234.05/x
  3. Step 3: Cross multiply
    3,455.49x = 5,178.60 × 3,234.05
  4. Step 4: Simplify right side
    3,455.49x = 16,747,845.78
  5. Step 5: Solve for x
    x = 16,747,845.78/3,455.49
  6. Step 6: Final answer
    x = 4,846.74

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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.