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Finding the Fourth Proportional to 5,403.38, 8,105.13 and 1,940.63

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Solution

The fourth proportional to 5,403.38, 8,105.13 and 1,940.63 is: 2,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.38 : 8,105.13 = 1,940.63 : x
  2. Step 2: Convert to fraction form
    5,403.38/8,105.13 = 1,940.63/x
  3. Step 3: Cross multiply
    5,403.38x = 8,105.13 × 1,940.63
  4. Step 4: Simplify right side
    5,403.38x = 15,729,017.91
  5. Step 5: Solve for x
    x = 15,729,017.91/5,403.38
  6. Step 6: Final answer
    x = 2,910.96

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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.