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Finding the Fourth Proportional to 5,393.44, 8,086.50 and 1,694.44

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Solution

The fourth proportional to 5,393.44, 8,086.50 and 1,694.44 is: 2,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.44 : 8,086.50 = 1,694.44 : x
  2. Step 2: Convert to fraction form
    5,393.44/8,086.50 = 1,694.44/x
  3. Step 3: Cross multiply
    5,393.44x = 8,086.50 × 1,694.44
  4. Step 4: Simplify right side
    5,393.44x = 13,702,089.06
  5. Step 5: Solve for x
    x = 13,702,089.06/5,393.44
  6. Step 6: Final answer
    x = 2,540.51

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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.