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Finding the Fourth Proportional to 3,791.93, 5,708.37 and 3,410.48

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Solution

The fourth proportional to 3,791.93, 5,708.37 and 3,410.48 is: 5,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.93 : 5,708.37 = 3,410.48 : x
  2. Step 2: Convert to fraction form
    3,791.93/5,708.37 = 3,410.48/x
  3. Step 3: Cross multiply
    3,791.93x = 5,708.37 × 3,410.48
  4. Step 4: Simplify right side
    3,791.93x = 19,468,253.18
  5. Step 5: Solve for x
    x = 19,468,253.18/3,791.93
  6. Step 6: Final answer
    x = 5,134.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.