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Finding the Fourth Proportional to 5,229.09, 7,845.17 and 2,107.49

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Solution

The fourth proportional to 5,229.09, 7,845.17 and 2,107.49 is: 3,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.09 : 7,845.17 = 2,107.49 : x
  2. Step 2: Convert to fraction form
    5,229.09/7,845.17 = 2,107.49/x
  3. Step 3: Cross multiply
    5,229.09x = 7,845.17 × 2,107.49
  4. Step 4: Simplify right side
    5,229.09x = 16,533,636.94
  5. Step 5: Solve for x
    x = 16,533,636.94/5,229.09
  6. Step 6: Final answer
    x = 3,161.86

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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.