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Finding the Fourth Proportional to 3,759.75, 5,635.89 and 2,524.32

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Solution

The fourth proportional to 3,759.75, 5,635.89 and 2,524.32 is: 3,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.75 : 5,635.89 = 2,524.32 : x
  2. Step 2: Convert to fraction form
    3,759.75/5,635.89 = 2,524.32/x
  3. Step 3: Cross multiply
    3,759.75x = 5,635.89 × 2,524.32
  4. Step 4: Simplify right side
    3,759.75x = 14,226,789.84
  5. Step 5: Solve for x
    x = 14,226,789.84/3,759.75
  6. Step 6: Final answer
    x = 3,783.97

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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.