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Finding the Fourth Proportional to 3,791.11, 5,687.27 and 1,600.16

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Solution

The fourth proportional to 3,791.11, 5,687.27 and 1,600.16 is: 2,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.11 : 5,687.27 = 1,600.16 : x
  2. Step 2: Convert to fraction form
    3,791.11/5,687.27 = 1,600.16/x
  3. Step 3: Cross multiply
    3,791.11x = 5,687.27 × 1,600.16
  4. Step 4: Simplify right side
    3,791.11x = 9,100,541.96
  5. Step 5: Solve for x
    x = 9,100,541.96/3,791.11
  6. Step 6: Final answer
    x = 2,400.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.