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Finding the Fourth Proportional to 3,795.66, 5,693.76 and 1,198.26

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Solution

The fourth proportional to 3,795.66, 5,693.76 and 1,198.26 is: 1,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.66 : 5,693.76 = 1,198.26 : x
  2. Step 2: Convert to fraction form
    3,795.66/5,693.76 = 1,198.26/x
  3. Step 3: Cross multiply
    3,795.66x = 5,693.76 × 1,198.26
  4. Step 4: Simplify right side
    3,795.66x = 6,822,604.86
  5. Step 5: Solve for x
    x = 6,822,604.86/3,795.66
  6. Step 6: Final answer
    x = 1,797.48

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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.