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Finding the Fourth Proportional to 3,791.88, 5,234.16 and 2,221.28

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Solution

The fourth proportional to 3,791.88, 5,234.16 and 2,221.28 is: 3,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.88 : 5,234.16 = 2,221.28 : x
  2. Step 2: Convert to fraction form
    3,791.88/5,234.16 = 2,221.28/x
  3. Step 3: Cross multiply
    3,791.88x = 5,234.16 × 2,221.28
  4. Step 4: Simplify right side
    3,791.88x = 11,626,534.92
  5. Step 5: Solve for x
    x = 11,626,534.92/3,791.88
  6. Step 6: Final answer
    x = 3,066.17

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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.