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Finding the Fourth Proportional to 4,649.25, 6,416.37 and 2,553.78

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Solution

The fourth proportional to 4,649.25, 6,416.37 and 2,553.78 is: 3,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.25 : 6,416.37 = 2,553.78 : x
  2. Step 2: Convert to fraction form
    4,649.25/6,416.37 = 2,553.78/x
  3. Step 3: Cross multiply
    4,649.25x = 6,416.37 × 2,553.78
  4. Step 4: Simplify right side
    4,649.25x = 16,385,997.38
  5. Step 5: Solve for x
    x = 16,385,997.38/4,649.25
  6. Step 6: Final answer
    x = 3,524.44

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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.