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Finding the Fourth Proportional to 3,791.42, 5,231.79 and 2,797.25

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Solution

The fourth proportional to 3,791.42, 5,231.79 and 2,797.25 is: 3,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.42 : 5,231.79 = 2,797.25 : x
  2. Step 2: Convert to fraction form
    3,791.42/5,231.79 = 2,797.25/x
  3. Step 3: Cross multiply
    3,791.42x = 5,231.79 × 2,797.25
  4. Step 4: Simplify right side
    3,791.42x = 14,634,598.42
  5. Step 5: Solve for x
    x = 14,634,598.42/3,791.42
  6. Step 6: Final answer
    x = 3,859.93

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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.