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Finding the Fourth Proportional to 3,795.46, 5,693.46 and 1,198.38

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Solution

The fourth proportional to 3,795.46, 5,693.46 and 1,198.38 is: 1,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.46 : 5,693.46 = 1,198.38 : x
  2. Step 2: Convert to fraction form
    3,795.46/5,693.46 = 1,198.38/x
  3. Step 3: Cross multiply
    3,795.46x = 5,693.46 × 1,198.38
  4. Step 4: Simplify right side
    3,795.46x = 6,822,900.13
  5. Step 5: Solve for x
    x = 6,822,900.13/3,795.46
  6. Step 6: Final answer
    x = 1,797.65

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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.