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Finding the Fourth Proportional to 3,351.76, 5,021.10 and 2,194

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Solution

The fourth proportional to 3,351.76, 5,021.10 and 2,194 is: 3,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.76 : 5,021.10 = 2,194 : x
  2. Step 2: Convert to fraction form
    3,351.76/5,021.10 = 2,194/x
  3. Step 3: Cross multiply
    3,351.76x = 5,021.10 × 2,194
  4. Step 4: Simplify right side
    3,351.76x = 11,016,293.40
  5. Step 5: Solve for x
    x = 11,016,293.40/3,351.76
  6. Step 6: Final answer
    x = 3,286.72

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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.