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Finding the Fourth Proportional to 3,955.24, 5,922.78 and 2,489.32

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Solution

The fourth proportional to 3,955.24, 5,922.78 and 2,489.32 is: 3,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.24 : 5,922.78 = 2,489.32 : x
  2. Step 2: Convert to fraction form
    3,955.24/5,922.78 = 2,489.32/x
  3. Step 3: Cross multiply
    3,955.24x = 5,922.78 × 2,489.32
  4. Step 4: Simplify right side
    3,955.24x = 14,743,694.71
  5. Step 5: Solve for x
    x = 14,743,694.71/3,955.24
  6. Step 6: Final answer
    x = 3,727.64

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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.