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Finding the Fourth Proportional to 3,796.48, 5,691.68 and 2,548.38

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Solution

The fourth proportional to 3,796.48, 5,691.68 and 2,548.38 is: 3,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.48 : 5,691.68 = 2,548.38 : x
  2. Step 2: Convert to fraction form
    3,796.48/5,691.68 = 2,548.38/x
  3. Step 3: Cross multiply
    3,796.48x = 5,691.68 × 2,548.38
  4. Step 4: Simplify right side
    3,796.48x = 14,504,563.48
  5. Step 5: Solve for x
    x = 14,504,563.48/3,796.48
  6. Step 6: Final answer
    x = 3,820.53

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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.