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Finding the Fourth Proportional to 3,825.29, 5,724.25 and 2,997.88

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Solution

The fourth proportional to 3,825.29, 5,724.25 and 2,997.88 is: 4,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.29 : 5,724.25 = 2,997.88 : x
  2. Step 2: Convert to fraction form
    3,825.29/5,724.25 = 2,997.88/x
  3. Step 3: Cross multiply
    3,825.29x = 5,724.25 × 2,997.88
  4. Step 4: Simplify right side
    3,825.29x = 17,160,614.59
  5. Step 5: Solve for x
    x = 17,160,614.59/3,825.29
  6. Step 6: Final answer
    x = 4,486.10

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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.