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Finding the Fourth Proportional to 3,797.63, 5,691.21 and 1,824.47

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Solution

The fourth proportional to 3,797.63, 5,691.21 and 1,824.47 is: 2,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.63 : 5,691.21 = 1,824.47 : x
  2. Step 2: Convert to fraction form
    3,797.63/5,691.21 = 1,824.47/x
  3. Step 3: Cross multiply
    3,797.63x = 5,691.21 × 1,824.47
  4. Step 4: Simplify right side
    3,797.63x = 10,383,470.23
  5. Step 5: Solve for x
    x = 10,383,470.23/3,797.63
  6. Step 6: Final answer
    x = 2,734.19

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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.