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Finding the Fourth Proportional to 4,273.52, 6,406.17 and 1,349.82

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Solution

The fourth proportional to 4,273.52, 6,406.17 and 1,349.82 is: 2,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.52 : 6,406.17 = 1,349.82 : x
  2. Step 2: Convert to fraction form
    4,273.52/6,406.17 = 1,349.82/x
  3. Step 3: Cross multiply
    4,273.52x = 6,406.17 × 1,349.82
  4. Step 4: Simplify right side
    4,273.52x = 8,647,176.39
  5. Step 5: Solve for x
    x = 8,647,176.39/4,273.52
  6. Step 6: Final answer
    x = 2,023.43

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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.