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Finding the Fourth Proportional to 3,623.48, 5,404.54 and 3,514.16

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Solution

The fourth proportional to 3,623.48, 5,404.54 and 3,514.16 is: 5,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.48 : 5,404.54 = 3,514.16 : x
  2. Step 2: Convert to fraction form
    3,623.48/5,404.54 = 3,514.16/x
  3. Step 3: Cross multiply
    3,623.48x = 5,404.54 × 3,514.16
  4. Step 4: Simplify right side
    3,623.48x = 18,992,418.29
  5. Step 5: Solve for x
    x = 18,992,418.29/3,623.48
  6. Step 6: Final answer
    x = 5,241.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.