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Finding the Fourth Proportional to 4,144, 6,218.16 and 2,092

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Solution

The fourth proportional to 4,144, 6,218.16 and 2,092 is: 3,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144 : 6,218.16 = 2,092 : x
  2. Step 2: Convert to fraction form
    4,144/6,218.16 = 2,092/x
  3. Step 3: Cross multiply
    4,144x = 6,218.16 × 2,092
  4. Step 4: Simplify right side
    4,144x = 13,008,390.72
  5. Step 5: Solve for x
    x = 13,008,390.72/4,144
  6. Step 6: Final answer
    x = 3,139.09

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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.