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Finding the Fourth Proportional to 5,949.62, 8,924.46 and 2,441.54

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Solution

The fourth proportional to 5,949.62, 8,924.46 and 2,441.54 is: 3,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.62 : 8,924.46 = 2,441.54 : x
  2. Step 2: Convert to fraction form
    5,949.62/8,924.46 = 2,441.54/x
  3. Step 3: Cross multiply
    5,949.62x = 8,924.46 × 2,441.54
  4. Step 4: Simplify right side
    5,949.62x = 21,789,426.07
  5. Step 5: Solve for x
    x = 21,789,426.07/5,949.62
  6. Step 6: Final answer
    x = 3,662.32

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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.