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Finding the Fourth Proportional to 3,898.57, 5,845.11 and 1,949.41

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Solution

The fourth proportional to 3,898.57, 5,845.11 and 1,949.41 is: 2,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.57 : 5,845.11 = 1,949.41 : x
  2. Step 2: Convert to fraction form
    3,898.57/5,845.11 = 1,949.41/x
  3. Step 3: Cross multiply
    3,898.57x = 5,845.11 × 1,949.41
  4. Step 4: Simplify right side
    3,898.57x = 11,394,515.89
  5. Step 5: Solve for x
    x = 11,394,515.89/3,898.57
  6. Step 6: Final answer
    x = 2,922.74

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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.