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Finding the Fourth Proportional to 5,463.73, 7,540.25 and 4,135.09

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Solution

The fourth proportional to 5,463.73, 7,540.25 and 4,135.09 is: 5,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.73 : 7,540.25 = 4,135.09 : x
  2. Step 2: Convert to fraction form
    5,463.73/7,540.25 = 4,135.09/x
  3. Step 3: Cross multiply
    5,463.73x = 7,540.25 × 4,135.09
  4. Step 4: Simplify right side
    5,463.73x = 31,179,591.70
  5. Step 5: Solve for x
    x = 31,179,591.70/5,463.73
  6. Step 6: Final answer
    x = 5,706.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.