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Finding the Fourth Proportional to 3,286.14, 4,534.74 and 1,794

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Solution

The fourth proportional to 3,286.14, 4,534.74 and 1,794 is: 2,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.14 : 4,534.74 = 1,794 : x
  2. Step 2: Convert to fraction form
    3,286.14/4,534.74 = 1,794/x
  3. Step 3: Cross multiply
    3,286.14x = 4,534.74 × 1,794
  4. Step 4: Simplify right side
    3,286.14x = 8,135,323.56
  5. Step 5: Solve for x
    x = 8,135,323.56/3,286.14
  6. Step 6: Final answer
    x = 2,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.