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Finding the Fourth Proportional to 4,963.28, 7,446 and 1,676.23

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Solution

The fourth proportional to 4,963.28, 7,446 and 1,676.23 is: 2,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.28 : 7,446 = 1,676.23 : x
  2. Step 2: Convert to fraction form
    4,963.28/7,446 = 1,676.23/x
  3. Step 3: Cross multiply
    4,963.28x = 7,446 × 1,676.23
  4. Step 4: Simplify right side
    4,963.28x = 12,481,208.58
  5. Step 5: Solve for x
    x = 12,481,208.58/4,963.28
  6. Step 6: Final answer
    x = 2,514.71

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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.