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Finding the Fourth Proportional to 4,678.62, 6,456.27 and 2,553.99

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Solution

The fourth proportional to 4,678.62, 6,456.27 and 2,553.99 is: 3,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.62 : 6,456.27 = 2,553.99 : x
  2. Step 2: Convert to fraction form
    4,678.62/6,456.27 = 2,553.99/x
  3. Step 3: Cross multiply
    4,678.62x = 6,456.27 × 2,553.99
  4. Step 4: Simplify right side
    4,678.62x = 16,489,249.02
  5. Step 5: Solve for x
    x = 16,489,249.02/4,678.62
  6. Step 6: Final answer
    x = 3,524.38

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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.