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Finding the Fourth Proportional to 4,649.56, 6,416.50 and 2,553.73

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Solution

The fourth proportional to 4,649.56, 6,416.50 and 2,553.73 is: 3,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.56 : 6,416.50 = 2,553.73 : x
  2. Step 2: Convert to fraction form
    4,649.56/6,416.50 = 2,553.73/x
  3. Step 3: Cross multiply
    4,649.56x = 6,416.50 × 2,553.73
  4. Step 4: Simplify right side
    4,649.56x = 16,385,976.46
  5. Step 5: Solve for x
    x = 16,385,976.46/4,649.56
  6. Step 6: Final answer
    x = 3,524.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.