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Finding the Fourth Proportional to 3,984.04, 5,969.43 and 2,812.12

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Solution

The fourth proportional to 3,984.04, 5,969.43 and 2,812.12 is: 4,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.04 : 5,969.43 = 2,812.12 : x
  2. Step 2: Convert to fraction form
    3,984.04/5,969.43 = 2,812.12/x
  3. Step 3: Cross multiply
    3,984.04x = 5,969.43 × 2,812.12
  4. Step 4: Simplify right side
    3,984.04x = 16,786,732.64
  5. Step 5: Solve for x
    x = 16,786,732.64/3,984.04
  6. Step 6: Final answer
    x = 4,213.49

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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.