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Finding the Fourth Proportional to 3,634.80, 5,453.10 and 1,442.80

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Solution

The fourth proportional to 3,634.80, 5,453.10 and 1,442.80 is: 2,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.80 : 5,453.10 = 1,442.80 : x
  2. Step 2: Convert to fraction form
    3,634.80/5,453.10 = 1,442.80/x
  3. Step 3: Cross multiply
    3,634.80x = 5,453.10 × 1,442.80
  4. Step 4: Simplify right side
    3,634.80x = 7,867,732.68
  5. Step 5: Solve for x
    x = 7,867,732.68/3,634.80
  6. Step 6: Final answer
    x = 2,164.56

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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.