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Finding the Fourth Proportional to 3,991.80, 5,993 and 3,410.53

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Solution

The fourth proportional to 3,991.80, 5,993 and 3,410.53 is: 5,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.80 : 5,993 = 3,410.53 : x
  2. Step 2: Convert to fraction form
    3,991.80/5,993 = 3,410.53/x
  3. Step 3: Cross multiply
    3,991.80x = 5,993 × 3,410.53
  4. Step 4: Simplify right side
    3,991.80x = 20,439,306.29
  5. Step 5: Solve for x
    x = 20,439,306.29/3,991.80
  6. Step 6: Final answer
    x = 5,120.32

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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.