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Finding the Fourth Proportional to 3,686.38, 5,087.02 and 2,194.27

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Solution

The fourth proportional to 3,686.38, 5,087.02 and 2,194.27 is: 3,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.38 : 5,087.02 = 2,194.27 : x
  2. Step 2: Convert to fraction form
    3,686.38/5,087.02 = 2,194.27/x
  3. Step 3: Cross multiply
    3,686.38x = 5,087.02 × 2,194.27
  4. Step 4: Simplify right side
    3,686.38x = 11,162,295.38
  5. Step 5: Solve for x
    x = 11,162,295.38/3,686.38
  6. Step 6: Final answer
    x = 3,027.98

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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.