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Finding the Fourth Proportional to 5,791.77, 7,993.89 and 4,530.33

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Solution

The fourth proportional to 5,791.77, 7,993.89 and 4,530.33 is: 6,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.77 : 7,993.89 = 4,530.33 : x
  2. Step 2: Convert to fraction form
    5,791.77/7,993.89 = 4,530.33/x
  3. Step 3: Cross multiply
    5,791.77x = 7,993.89 × 4,530.33
  4. Step 4: Simplify right side
    5,791.77x = 36,214,959.68
  5. Step 5: Solve for x
    x = 36,214,959.68/5,791.77
  6. Step 6: Final answer
    x = 6,252.83

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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.