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Finding the Fourth Proportional to 3,900.26, 5,841.57 and 2,735.43

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Solution

The fourth proportional to 3,900.26, 5,841.57 and 2,735.43 is: 4,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.26 : 5,841.57 = 2,735.43 : x
  2. Step 2: Convert to fraction form
    3,900.26/5,841.57 = 2,735.43/x
  3. Step 3: Cross multiply
    3,900.26x = 5,841.57 × 2,735.43
  4. Step 4: Simplify right side
    3,900.26x = 15,979,205.83
  5. Step 5: Solve for x
    x = 15,979,205.83/3,900.26
  6. Step 6: Final answer
    x = 4,096.96

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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.