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Finding the Fourth Proportional to 5,395.25, 8,096.02 and 2,108.18

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Solution

The fourth proportional to 5,395.25, 8,096.02 and 2,108.18 is: 3,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.25 : 8,096.02 = 2,108.18 : x
  2. Step 2: Convert to fraction form
    5,395.25/8,096.02 = 2,108.18/x
  3. Step 3: Cross multiply
    5,395.25x = 8,096.02 × 2,108.18
  4. Step 4: Simplify right side
    5,395.25x = 17,067,882.41
  5. Step 5: Solve for x
    x = 17,067,882.41/5,395.25
  6. Step 6: Final answer
    x = 3,163.50

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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.