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Finding the Fourth Proportional to 3,795.71, 5,694.48 and 1,198.64

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Solution

The fourth proportional to 3,795.71, 5,694.48 and 1,198.64 is: 1,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.71 : 5,694.48 = 1,198.64 : x
  2. Step 2: Convert to fraction form
    3,795.71/5,694.48 = 1,198.64/x
  3. Step 3: Cross multiply
    3,795.71x = 5,694.48 × 1,198.64
  4. Step 4: Simplify right side
    3,795.71x = 6,825,631.51
  5. Step 5: Solve for x
    x = 6,825,631.51/3,795.71
  6. Step 6: Final answer
    x = 1,798.25

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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.