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Finding the Fourth Proportional to 5,514.78, 7,612.17 and 3,530.68

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Solution

The fourth proportional to 5,514.78, 7,612.17 and 3,530.68 is: 4,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.78 : 7,612.17 = 3,530.68 : x
  2. Step 2: Convert to fraction form
    5,514.78/7,612.17 = 3,530.68/x
  3. Step 3: Cross multiply
    5,514.78x = 7,612.17 × 3,530.68
  4. Step 4: Simplify right side
    5,514.78x = 26,876,136.38
  5. Step 5: Solve for x
    x = 26,876,136.38/5,514.78
  6. Step 6: Final answer
    x = 4,873.47

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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.