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Finding the Fourth Proportional to 4,643.73, 6,997.41 and 3,839.99

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Solution

The fourth proportional to 4,643.73, 6,997.41 and 3,839.99 is: 5,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.73 : 6,997.41 = 3,839.99 : x
  2. Step 2: Convert to fraction form
    4,643.73/6,997.41 = 3,839.99/x
  3. Step 3: Cross multiply
    4,643.73x = 6,997.41 × 3,839.99
  4. Step 4: Simplify right side
    4,643.73x = 26,869,949.44
  5. Step 5: Solve for x
    x = 26,869,949.44/4,643.73
  6. Step 6: Final answer
    x = 5,786.29

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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.