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Finding the Fourth Proportional to 3,795.88, 5,694.18 and 1,198.84

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Solution

The fourth proportional to 3,795.88, 5,694.18 and 1,198.84 is: 1,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.88 : 5,694.18 = 1,198.84 : x
  2. Step 2: Convert to fraction form
    3,795.88/5,694.18 = 1,198.84/x
  3. Step 3: Cross multiply
    3,795.88x = 5,694.18 × 1,198.84
  4. Step 4: Simplify right side
    3,795.88x = 6,826,410.75
  5. Step 5: Solve for x
    x = 6,826,410.75/3,795.88
  6. Step 6: Final answer
    x = 1,798.37

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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.