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Finding the Fourth Proportional to 5,936.66, 8,195.28 and 3,815.28

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Solution

The fourth proportional to 5,936.66, 8,195.28 and 3,815.28 is: 5,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.66 : 8,195.28 = 3,815.28 : x
  2. Step 2: Convert to fraction form
    5,936.66/8,195.28 = 3,815.28/x
  3. Step 3: Cross multiply
    5,936.66x = 8,195.28 × 3,815.28
  4. Step 4: Simplify right side
    5,936.66x = 31,267,287.88
  5. Step 5: Solve for x
    x = 31,267,287.88/5,936.66
  6. Step 6: Final answer
    x = 5,266.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.