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Finding the Fourth Proportional to 3,450.30, 5,163.09 and 3,218.59

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Solution

The fourth proportional to 3,450.30, 5,163.09 and 3,218.59 is: 4,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.30 : 5,163.09 = 3,218.59 : x
  2. Step 2: Convert to fraction form
    3,450.30/5,163.09 = 3,218.59/x
  3. Step 3: Cross multiply
    3,450.30x = 5,163.09 × 3,218.59
  4. Step 4: Simplify right side
    3,450.30x = 16,617,853.29
  5. Step 5: Solve for x
    x = 16,617,853.29/3,450.30
  6. Step 6: Final answer
    x = 4,816.36

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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.