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Finding the Fourth Proportional to 3,796.97, 5,699.03 and 2,743.83

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Solution

The fourth proportional to 3,796.97, 5,699.03 and 2,743.83 is: 4,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.97 : 5,699.03 = 2,743.83 : x
  2. Step 2: Convert to fraction form
    3,796.97/5,699.03 = 2,743.83/x
  3. Step 3: Cross multiply
    3,796.97x = 5,699.03 × 2,743.83
  4. Step 4: Simplify right side
    3,796.97x = 15,637,155.77
  5. Step 5: Solve for x
    x = 15,637,155.77/3,796.97
  6. Step 6: Final answer
    x = 4,118.33

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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.