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Finding the Fourth Proportional to 3,512.68, 4,847.43 and 1,940.74

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Solution

The fourth proportional to 3,512.68, 4,847.43 and 1,940.74 is: 2,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.68 : 4,847.43 = 1,940.74 : x
  2. Step 2: Convert to fraction form
    3,512.68/4,847.43 = 1,940.74/x
  3. Step 3: Cross multiply
    3,512.68x = 4,847.43 × 1,940.74
  4. Step 4: Simplify right side
    3,512.68x = 9,407,601.30
  5. Step 5: Solve for x
    x = 9,407,601.30/3,512.68
  6. Step 6: Final answer
    x = 2,678.18

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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.