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Finding the Fourth Proportional to 3,989.20, 5,996.76 and 3,969.76

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Solution

The fourth proportional to 3,989.20, 5,996.76 and 3,969.76 is: 5,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.20 : 5,996.76 = 3,969.76 : x
  2. Step 2: Convert to fraction form
    3,989.20/5,996.76 = 3,969.76/x
  3. Step 3: Cross multiply
    3,989.20x = 5,996.76 × 3,969.76
  4. Step 4: Simplify right side
    3,989.20x = 23,805,697.98
  5. Step 5: Solve for x
    x = 23,805,697.98/3,989.20
  6. Step 6: Final answer
    x = 5,967.54

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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.