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Finding the Fourth Proportional to 3,728.97, 5,586.98 and 2,616.03

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Solution

The fourth proportional to 3,728.97, 5,586.98 and 2,616.03 is: 3,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.97 : 5,586.98 = 2,616.03 : x
  2. Step 2: Convert to fraction form
    3,728.97/5,586.98 = 2,616.03/x
  3. Step 3: Cross multiply
    3,728.97x = 5,586.98 × 2,616.03
  4. Step 4: Simplify right side
    3,728.97x = 14,615,694.21
  5. Step 5: Solve for x
    x = 14,615,694.21/3,728.97
  6. Step 6: Final answer
    x = 3,919.50

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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.