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Finding the Fourth Proportional to 5,495.27, 8,286.02 and 5,036

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Solution

The fourth proportional to 5,495.27, 8,286.02 and 5,036 is: 7,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.27 : 8,286.02 = 5,036 : x
  2. Step 2: Convert to fraction form
    5,495.27/8,286.02 = 5,036/x
  3. Step 3: Cross multiply
    5,495.27x = 8,286.02 × 5,036
  4. Step 4: Simplify right side
    5,495.27x = 41,728,396.72
  5. Step 5: Solve for x
    x = 41,728,396.72/5,495.27
  6. Step 6: Final answer
    x = 7,593.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.