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Finding the Fourth Proportional to 3,940.56, 5,435.19 and 2,680.83

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Solution

The fourth proportional to 3,940.56, 5,435.19 and 2,680.83 is: 3,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.56 : 5,435.19 = 2,680.83 : x
  2. Step 2: Convert to fraction form
    3,940.56/5,435.19 = 2,680.83/x
  3. Step 3: Cross multiply
    3,940.56x = 5,435.19 × 2,680.83
  4. Step 4: Simplify right side
    3,940.56x = 14,570,820.41
  5. Step 5: Solve for x
    x = 14,570,820.41/3,940.56
  6. Step 6: Final answer
    x = 3,697.65

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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.