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Finding the Fourth Proportional to 3,791.71, 5,232.40 and 2,796.63

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Solution

The fourth proportional to 3,791.71, 5,232.40 and 2,796.63 is: 3,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.71 : 5,232.40 = 2,796.63 : x
  2. Step 2: Convert to fraction form
    3,791.71/5,232.40 = 2,796.63/x
  3. Step 3: Cross multiply
    3,791.71x = 5,232.40 × 2,796.63
  4. Step 4: Simplify right side
    3,791.71x = 14,633,060.20
  5. Step 5: Solve for x
    x = 14,633,060.20/3,791.71
  6. Step 6: Final answer
    x = 3,859.22

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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.