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Finding the Fourth Proportional to 3,924.75, 5,889.83 and 1,616.25

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Solution

The fourth proportional to 3,924.75, 5,889.83 and 1,616.25 is: 2,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.75 : 5,889.83 = 1,616.25 : x
  2. Step 2: Convert to fraction form
    3,924.75/5,889.83 = 1,616.25/x
  3. Step 3: Cross multiply
    3,924.75x = 5,889.83 × 1,616.25
  4. Step 4: Simplify right side
    3,924.75x = 9,519,429.66
  5. Step 5: Solve for x
    x = 9,519,429.66/3,924.75
  6. Step 6: Final answer
    x = 2,425.49

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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.