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Finding the Fourth Proportional to 3,975.20, 5,954.88 and 3,105.44

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Solution

The fourth proportional to 3,975.20, 5,954.88 and 3,105.44 is: 4,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.20 : 5,954.88 = 3,105.44 : x
  2. Step 2: Convert to fraction form
    3,975.20/5,954.88 = 3,105.44/x
  3. Step 3: Cross multiply
    3,975.20x = 5,954.88 × 3,105.44
  4. Step 4: Simplify right side
    3,975.20x = 18,492,522.55
  5. Step 5: Solve for x
    x = 18,492,522.55/3,975.20
  6. Step 6: Final answer
    x = 4,651.97

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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.