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Finding the Fourth Proportional to 4,197, 5,791.86 and 2,334.36

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Solution

The fourth proportional to 4,197, 5,791.86 and 2,334.36 is: 3,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 5,791.86 = 2,334.36 : x
  2. Step 2: Convert to fraction form
    4,197/5,791.86 = 2,334.36/x
  3. Step 3: Cross multiply
    4,197x = 5,791.86 × 2,334.36
  4. Step 4: Simplify right side
    4,197x = 13,520,286.31
  5. Step 5: Solve for x
    x = 13,520,286.31/4,197
  6. Step 6: Final answer
    x = 3,221.42

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1.5x scale

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.