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Finding the Fourth Proportional to 3,959.46, 5,940.09 and 2,109.60

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Solution

The fourth proportional to 3,959.46, 5,940.09 and 2,109.60 is: 3,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.46 : 5,940.09 = 2,109.60 : x
  2. Step 2: Convert to fraction form
    3,959.46/5,940.09 = 2,109.60/x
  3. Step 3: Cross multiply
    3,959.46x = 5,940.09 × 2,109.60
  4. Step 4: Simplify right side
    3,959.46x = 12,531,213.86
  5. Step 5: Solve for x
    x = 12,531,213.86/3,959.46
  6. Step 6: Final answer
    x = 3,164.88

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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.