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Finding the Fourth Proportional to 3,958.93, 5,933.24 and 1,616.18

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Solution

The fourth proportional to 3,958.93, 5,933.24 and 1,616.18 is: 2,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.93 : 5,933.24 = 1,616.18 : x
  2. Step 2: Convert to fraction form
    3,958.93/5,933.24 = 1,616.18/x
  3. Step 3: Cross multiply
    3,958.93x = 5,933.24 × 1,616.18
  4. Step 4: Simplify right side
    3,958.93x = 9,589,202.70
  5. Step 5: Solve for x
    x = 9,589,202.70/3,958.93
  6. Step 6: Final answer
    x = 2,422.17

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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.