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Finding the Fourth Proportional to 6,092.28, 8,399.69 and 4,972.08

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Solution

The fourth proportional to 6,092.28, 8,399.69 and 4,972.08 is: 6,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.28 : 8,399.69 = 4,972.08 : x
  2. Step 2: Convert to fraction form
    6,092.28/8,399.69 = 4,972.08/x
  3. Step 3: Cross multiply
    6,092.28x = 8,399.69 × 4,972.08
  4. Step 4: Simplify right side
    6,092.28x = 41,763,930.66
  5. Step 5: Solve for x
    x = 41,763,930.66/6,092.28
  6. Step 6: Final answer
    x = 6,855.22

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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.