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Finding the Fourth Proportional to 3,975, 5,959.96 and 1,378.12

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Solution

The fourth proportional to 3,975, 5,959.96 and 1,378.12 is: 2,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975 : 5,959.96 = 1,378.12 : x
  2. Step 2: Convert to fraction form
    3,975/5,959.96 = 1,378.12/x
  3. Step 3: Cross multiply
    3,975x = 5,959.96 × 1,378.12
  4. Step 4: Simplify right side
    3,975x = 8,213,540.08
  5. Step 5: Solve for x
    x = 8,213,540.08/3,975
  6. Step 6: Final answer
    x = 2,066.30

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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.