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Finding the Fourth Proportional to 6,061.97, 9,092.94 and 1,902.33

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Solution

The fourth proportional to 6,061.97, 9,092.94 and 1,902.33 is: 2,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.97 : 9,092.94 = 1,902.33 : x
  2. Step 2: Convert to fraction form
    6,061.97/9,092.94 = 1,902.33/x
  3. Step 3: Cross multiply
    6,061.97x = 9,092.94 × 1,902.33
  4. Step 4: Simplify right side
    6,061.97x = 17,297,772.55
  5. Step 5: Solve for x
    x = 17,297,772.55/6,061.97
  6. Step 6: Final answer
    x = 2,853.49

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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.