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Finding the Fourth Proportional to 4,192.25, 5,796.23 and 4,008.65

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Solution

The fourth proportional to 4,192.25, 5,796.23 and 4,008.65 is: 5,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.25 : 5,796.23 = 4,008.65 : x
  2. Step 2: Convert to fraction form
    4,192.25/5,796.23 = 4,008.65/x
  3. Step 3: Cross multiply
    4,192.25x = 5,796.23 × 4,008.65
  4. Step 4: Simplify right side
    4,192.25x = 23,235,037.35
  5. Step 5: Solve for x
    x = 23,235,037.35/4,192.25
  6. Step 6: Final answer
    x = 5,542.38

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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.