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Finding the Fourth Proportional to 3,400.46, 5,101.98 and 1,755.96

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Solution

The fourth proportional to 3,400.46, 5,101.98 and 1,755.96 is: 2,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.46 : 5,101.98 = 1,755.96 : x
  2. Step 2: Convert to fraction form
    3,400.46/5,101.98 = 1,755.96/x
  3. Step 3: Cross multiply
    3,400.46x = 5,101.98 × 1,755.96
  4. Step 4: Simplify right side
    3,400.46x = 8,958,872.80
  5. Step 5: Solve for x
    x = 8,958,872.80/3,400.46
  6. Step 6: Final answer
    x = 2,634.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.