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Finding the Fourth Proportional to 3,796.57, 5,695.26 and 1,199.31

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Solution

The fourth proportional to 3,796.57, 5,695.26 and 1,199.31 is: 1,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.57 : 5,695.26 = 1,199.31 : x
  2. Step 2: Convert to fraction form
    3,796.57/5,695.26 = 1,199.31/x
  3. Step 3: Cross multiply
    3,796.57x = 5,695.26 × 1,199.31
  4. Step 4: Simplify right side
    3,796.57x = 6,830,382.27
  5. Step 5: Solve for x
    x = 6,830,382.27/3,796.57
  6. Step 6: Final answer
    x = 1,799.09

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1.5x scale

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.