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Finding the Fourth Proportional to 4,514.62, 6,231.38 and 2,746.80

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Solution

The fourth proportional to 4,514.62, 6,231.38 and 2,746.80 is: 3,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.62 : 6,231.38 = 2,746.80 : x
  2. Step 2: Convert to fraction form
    4,514.62/6,231.38 = 2,746.80/x
  3. Step 3: Cross multiply
    4,514.62x = 6,231.38 × 2,746.80
  4. Step 4: Simplify right side
    4,514.62x = 17,116,354.58
  5. Step 5: Solve for x
    x = 17,116,354.58/4,514.62
  6. Step 6: Final answer
    x = 3,791.32

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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.