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Finding the Fourth Proportional to 5,794.39, 7,996.25 and 3,141.77

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Solution

The fourth proportional to 5,794.39, 7,996.25 and 3,141.77 is: 4,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.39 : 7,996.25 = 3,141.77 : x
  2. Step 2: Convert to fraction form
    5,794.39/7,996.25 = 3,141.77/x
  3. Step 3: Cross multiply
    5,794.39x = 7,996.25 × 3,141.77
  4. Step 4: Simplify right side
    5,794.39x = 25,122,382.64
  5. Step 5: Solve for x
    x = 25,122,382.64/5,794.39
  6. Step 6: Final answer
    x = 4,335.64

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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.