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Finding the Fourth Proportional to 5,194.15, 7,164.29 and 3,514.82

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Solution

The fourth proportional to 5,194.15, 7,164.29 and 3,514.82 is: 4,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.15 : 7,164.29 = 3,514.82 : x
  2. Step 2: Convert to fraction form
    5,194.15/7,164.29 = 3,514.82/x
  3. Step 3: Cross multiply
    5,194.15x = 7,164.29 × 3,514.82
  4. Step 4: Simplify right side
    5,194.15x = 25,181,136.38
  5. Step 5: Solve for x
    x = 25,181,136.38/5,194.15
  6. Step 6: Final answer
    x = 4,847.98

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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.