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Finding the Fourth Proportional to 3,797.56, 5,696.14 and 2,682.39

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Solution

The fourth proportional to 3,797.56, 5,696.14 and 2,682.39 is: 4,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.56 : 5,696.14 = 2,682.39 : x
  2. Step 2: Convert to fraction form
    3,797.56/5,696.14 = 2,682.39/x
  3. Step 3: Cross multiply
    3,797.56x = 5,696.14 × 2,682.39
  4. Step 4: Simplify right side
    3,797.56x = 15,279,268.97
  5. Step 5: Solve for x
    x = 15,279,268.97/3,797.56
  6. Step 6: Final answer
    x = 4,023.44

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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.