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Finding the Fourth Proportional to 3,766.46, 5,644.42 and 3,208.25

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Solution

The fourth proportional to 3,766.46, 5,644.42 and 3,208.25 is: 4,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.46 : 5,644.42 = 3,208.25 : x
  2. Step 2: Convert to fraction form
    3,766.46/5,644.42 = 3,208.25/x
  3. Step 3: Cross multiply
    3,766.46x = 5,644.42 × 3,208.25
  4. Step 4: Simplify right side
    3,766.46x = 18,108,716.56
  5. Step 5: Solve for x
    x = 18,108,716.56/3,766.46
  6. Step 6: Final answer
    x = 4,807.89

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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.