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Finding the Fourth Proportional to 5,995.92, 8,274.24 and 4,107.45

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Solution

The fourth proportional to 5,995.92, 8,274.24 and 4,107.45 is: 5,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.92 : 8,274.24 = 4,107.45 : x
  2. Step 2: Convert to fraction form
    5,995.92/8,274.24 = 4,107.45/x
  3. Step 3: Cross multiply
    5,995.92x = 8,274.24 × 4,107.45
  4. Step 4: Simplify right side
    5,995.92x = 33,986,027.09
  5. Step 5: Solve for x
    x = 33,986,027.09/5,995.92
  6. Step 6: Final answer
    x = 5,668.19

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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.