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Finding the Fourth Proportional to 3,997.94, 5,991.66 and 1,776.02

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Solution

The fourth proportional to 3,997.94, 5,991.66 and 1,776.02 is: 2,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.94 : 5,991.66 = 1,776.02 : x
  2. Step 2: Convert to fraction form
    3,997.94/5,991.66 = 1,776.02/x
  3. Step 3: Cross multiply
    3,997.94x = 5,991.66 × 1,776.02
  4. Step 4: Simplify right side
    3,997.94x = 10,641,278.03
  5. Step 5: Solve for x
    x = 10,641,278.03/3,997.94
  6. Step 6: Final answer
    x = 2,661.69

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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.