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Finding the Fourth Proportional to 4,940.89, 7,414.25 and 1,823.09

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Solution

The fourth proportional to 4,940.89, 7,414.25 and 1,823.09 is: 2,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.89 : 7,414.25 = 1,823.09 : x
  2. Step 2: Convert to fraction form
    4,940.89/7,414.25 = 1,823.09/x
  3. Step 3: Cross multiply
    4,940.89x = 7,414.25 × 1,823.09
  4. Step 4: Simplify right side
    4,940.89x = 13,516,845.03
  5. Step 5: Solve for x
    x = 13,516,845.03/4,940.89
  6. Step 6: Final answer
    x = 2,735.71

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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.