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Finding the Fourth Proportional to 3,846.78, 5,273.96 and 3,776.73

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Solution

The fourth proportional to 3,846.78, 5,273.96 and 3,776.73 is: 5,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.78 : 5,273.96 = 3,776.73 : x
  2. Step 2: Convert to fraction form
    3,846.78/5,273.96 = 3,776.73/x
  3. Step 3: Cross multiply
    3,846.78x = 5,273.96 × 3,776.73
  4. Step 4: Simplify right side
    3,846.78x = 19,918,304.07
  5. Step 5: Solve for x
    x = 19,918,304.07/3,846.78
  6. Step 6: Final answer
    x = 5,177.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.