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Finding the Fourth Proportional to 3,400.81, 5,105.34 and 3,228.58

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Solution

The fourth proportional to 3,400.81, 5,105.34 and 3,228.58 is: 4,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.81 : 5,105.34 = 3,228.58 : x
  2. Step 2: Convert to fraction form
    3,400.81/5,105.34 = 3,228.58/x
  3. Step 3: Cross multiply
    3,400.81x = 5,105.34 × 3,228.58
  4. Step 4: Simplify right side
    3,400.81x = 16,482,998.62
  5. Step 5: Solve for x
    x = 16,482,998.62/3,400.81
  6. Step 6: Final answer
    x = 4,846.79

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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.