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Finding the Fourth Proportional to 3,984.50, 5,978.46 and 2,135.09

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Solution

The fourth proportional to 3,984.50, 5,978.46 and 2,135.09 is: 3,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.50 : 5,978.46 = 2,135.09 : x
  2. Step 2: Convert to fraction form
    3,984.50/5,978.46 = 2,135.09/x
  3. Step 3: Cross multiply
    3,984.50x = 5,978.46 × 2,135.09
  4. Step 4: Simplify right side
    3,984.50x = 12,764,550.16
  5. Step 5: Solve for x
    x = 12,764,550.16/3,984.50
  6. Step 6: Final answer
    x = 3,203.55

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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.