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Finding the Fourth Proportional to 5,992.29, 8,270.64 and 3,866.31

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Solution

The fourth proportional to 5,992.29, 8,270.64 and 3,866.31 is: 5,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.29 : 8,270.64 = 3,866.31 : x
  2. Step 2: Convert to fraction form
    5,992.29/8,270.64 = 3,866.31/x
  3. Step 3: Cross multiply
    5,992.29x = 8,270.64 × 3,866.31
  4. Step 4: Simplify right side
    5,992.29x = 31,976,858.14
  5. Step 5: Solve for x
    x = 31,976,858.14/5,992.29
  6. Step 6: Final answer
    x = 5,336.33

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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.