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Finding the Fourth Proportional to 3,824.26, 5,736.99 and 1,633

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Solution

The fourth proportional to 3,824.26, 5,736.99 and 1,633 is: 2,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.26 : 5,736.99 = 1,633 : x
  2. Step 2: Convert to fraction form
    3,824.26/5,736.99 = 1,633/x
  3. Step 3: Cross multiply
    3,824.26x = 5,736.99 × 1,633
  4. Step 4: Simplify right side
    3,824.26x = 9,368,504.67
  5. Step 5: Solve for x
    x = 9,368,504.67/3,824.26
  6. Step 6: Final answer
    x = 2,449.76

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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.