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Finding the Fourth Proportional to 3,796.29, 5,695.52 and 2,697.39

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Solution

The fourth proportional to 3,796.29, 5,695.52 and 2,697.39 is: 4,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.29 : 5,695.52 = 2,697.39 : x
  2. Step 2: Convert to fraction form
    3,796.29/5,695.52 = 2,697.39/x
  3. Step 3: Cross multiply
    3,796.29x = 5,695.52 × 2,697.39
  4. Step 4: Simplify right side
    3,796.29x = 15,363,025.21
  5. Step 5: Solve for x
    x = 15,363,025.21/3,796.29
  6. Step 6: Final answer
    x = 4,046.85

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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.