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Finding the Fourth Proportional to 3,795.84, 5,694.08 and 1,198.24

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Solution

The fourth proportional to 3,795.84, 5,694.08 and 1,198.24 is: 1,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.84 : 5,694.08 = 1,198.24 : x
  2. Step 2: Convert to fraction form
    3,795.84/5,694.08 = 1,198.24/x
  3. Step 3: Cross multiply
    3,795.84x = 5,694.08 × 1,198.24
  4. Step 4: Simplify right side
    3,795.84x = 6,822,874.42
  5. Step 5: Solve for x
    x = 6,822,874.42/3,795.84
  6. Step 6: Final answer
    x = 1,797.46

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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.