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Finding the Fourth Proportional to 3,983.72, 5,498.79 and 2,724.30

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Solution

The fourth proportional to 3,983.72, 5,498.79 and 2,724.30 is: 3,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.72 : 5,498.79 = 2,724.30 : x
  2. Step 2: Convert to fraction form
    3,983.72/5,498.79 = 2,724.30/x
  3. Step 3: Cross multiply
    3,983.72x = 5,498.79 × 2,724.30
  4. Step 4: Simplify right side
    3,983.72x = 14,980,320.18
  5. Step 5: Solve for x
    x = 14,980,320.18/3,983.72
  6. Step 6: Final answer
    x = 3,760.39

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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.