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Finding the Fourth Proportional to 6,348.52, 9,519.42 and 2,449

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Solution

The fourth proportional to 6,348.52, 9,519.42 and 2,449 is: 3,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.52 : 9,519.42 = 2,449 : x
  2. Step 2: Convert to fraction form
    6,348.52/9,519.42 = 2,449/x
  3. Step 3: Cross multiply
    6,348.52x = 9,519.42 × 2,449
  4. Step 4: Simplify right side
    6,348.52x = 23,313,059.58
  5. Step 5: Solve for x
    x = 23,313,059.58/6,348.52
  6. Step 6: Final answer
    x = 3,672.20

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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.