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Finding the Fourth Proportional to 3,236.62, 4,468.14 and 2,194.15

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Solution

The fourth proportional to 3,236.62, 4,468.14 and 2,194.15 is: 3,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.62 : 4,468.14 = 2,194.15 : x
  2. Step 2: Convert to fraction form
    3,236.62/4,468.14 = 2,194.15/x
  3. Step 3: Cross multiply
    3,236.62x = 4,468.14 × 2,194.15
  4. Step 4: Simplify right side
    3,236.62x = 9,803,769.38
  5. Step 5: Solve for x
    x = 9,803,769.38/3,236.62
  6. Step 6: Final answer
    x = 3,029.01

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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.