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Finding the Fourth Proportional to 4,197, 5,791.98 and 2,334.12

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Solution

The fourth proportional to 4,197, 5,791.98 and 2,334.12 is: 3,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 5,791.98 = 2,334.12 : x
  2. Step 2: Convert to fraction form
    4,197/5,791.98 = 2,334.12/x
  3. Step 3: Cross multiply
    4,197x = 5,791.98 × 2,334.12
  4. Step 4: Simplify right side
    4,197x = 13,519,176.36
  5. Step 5: Solve for x
    x = 13,519,176.36/4,197
  6. Step 6: Final answer
    x = 3,221.15

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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.