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Finding the Fourth Proportional to 3,512.44, 4,847.10 and 1,940.50

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Solution

The fourth proportional to 3,512.44, 4,847.10 and 1,940.50 is: 2,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.44 : 4,847.10 = 1,940.50 : x
  2. Step 2: Convert to fraction form
    3,512.44/4,847.10 = 1,940.50/x
  3. Step 3: Cross multiply
    3,512.44x = 4,847.10 × 1,940.50
  4. Step 4: Simplify right side
    3,512.44x = 9,405,797.55
  5. Step 5: Solve for x
    x = 9,405,797.55/3,512.44
  6. Step 6: Final answer
    x = 2,677.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.