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Finding the Fourth Proportional to 3,964.90, 5,945.67 and 2,115.62

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Solution

The fourth proportional to 3,964.90, 5,945.67 and 2,115.62 is: 3,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.90 : 5,945.67 = 2,115.62 : x
  2. Step 2: Convert to fraction form
    3,964.90/5,945.67 = 2,115.62/x
  3. Step 3: Cross multiply
    3,964.90x = 5,945.67 × 2,115.62
  4. Step 4: Simplify right side
    3,964.90x = 12,578,778.37
  5. Step 5: Solve for x
    x = 12,578,778.37/3,964.90
  6. Step 6: Final answer
    x = 3,172.53

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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.