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Finding the Fourth Proportional to 3,441.37, 5,174.51 and 3,170.73

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Solution

The fourth proportional to 3,441.37, 5,174.51 and 3,170.73 is: 4,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.37 : 5,174.51 = 3,170.73 : x
  2. Step 2: Convert to fraction form
    3,441.37/5,174.51 = 3,170.73/x
  3. Step 3: Cross multiply
    3,441.37x = 5,174.51 × 3,170.73
  4. Step 4: Simplify right side
    3,441.37x = 16,406,974.09
  5. Step 5: Solve for x
    x = 16,406,974.09/3,441.37
  6. Step 6: Final answer
    x = 4,767.57

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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.