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Finding the Fourth Proportional to 3,759.12, 5,633.64 and 2,115

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Solution

The fourth proportional to 3,759.12, 5,633.64 and 2,115 is: 3,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.12 : 5,633.64 = 2,115 : x
  2. Step 2: Convert to fraction form
    3,759.12/5,633.64 = 2,115/x
  3. Step 3: Cross multiply
    3,759.12x = 5,633.64 × 2,115
  4. Step 4: Simplify right side
    3,759.12x = 11,915,148.60
  5. Step 5: Solve for x
    x = 11,915,148.60/3,759.12
  6. Step 6: Final answer
    x = 3,169.66

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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.