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Finding the Fourth Proportional to 4,609.88, 6,361.62 and 2,514

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Solution

The fourth proportional to 4,609.88, 6,361.62 and 2,514 is: 3,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.88 : 6,361.62 = 2,514 : x
  2. Step 2: Convert to fraction form
    4,609.88/6,361.62 = 2,514/x
  3. Step 3: Cross multiply
    4,609.88x = 6,361.62 × 2,514
  4. Step 4: Simplify right side
    4,609.88x = 15,993,112.68
  5. Step 5: Solve for x
    x = 15,993,112.68/4,609.88
  6. Step 6: Final answer
    x = 3,469.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.