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Finding the Fourth Proportional to 3,989.36, 5,983.08 and 1,766.97

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Solution

The fourth proportional to 3,989.36, 5,983.08 and 1,766.97 is: 2,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.36 : 5,983.08 = 1,766.97 : x
  2. Step 2: Convert to fraction form
    3,989.36/5,983.08 = 1,766.97/x
  3. Step 3: Cross multiply
    3,989.36x = 5,983.08 × 1,766.97
  4. Step 4: Simplify right side
    3,989.36x = 10,571,909.35
  5. Step 5: Solve for x
    x = 10,571,909.35/3,989.36
  6. Step 6: Final answer
    x = 2,650.02

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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.