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Finding the Fourth Proportional to 4,186.98, 5,777.22 and 2,694.54

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Solution

The fourth proportional to 4,186.98, 5,777.22 and 2,694.54 is: 3,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.98 : 5,777.22 = 2,694.54 : x
  2. Step 2: Convert to fraction form
    4,186.98/5,777.22 = 2,694.54/x
  3. Step 3: Cross multiply
    4,186.98x = 5,777.22 × 2,694.54
  4. Step 4: Simplify right side
    4,186.98x = 15,566,950.38
  5. Step 5: Solve for x
    x = 15,566,950.38/4,186.98
  6. Step 6: Final answer
    x = 3,717.94

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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.