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Finding the Fourth Proportional to 3,496.28, 5,244.42 and 2,195

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Solution

The fourth proportional to 3,496.28, 5,244.42 and 2,195 is: 3,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.28 : 5,244.42 = 2,195 : x
  2. Step 2: Convert to fraction form
    3,496.28/5,244.42 = 2,195/x
  3. Step 3: Cross multiply
    3,496.28x = 5,244.42 × 2,195
  4. Step 4: Simplify right side
    3,496.28x = 11,511,501.90
  5. Step 5: Solve for x
    x = 11,511,501.90/3,496.28
  6. Step 6: Final answer
    x = 3,292.50

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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.