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Finding the Fourth Proportional to 3,745.82, 5,169.12 and 2,173.84

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Solution

The fourth proportional to 3,745.82, 5,169.12 and 2,173.84 is: 2,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.82 : 5,169.12 = 2,173.84 : x
  2. Step 2: Convert to fraction form
    3,745.82/5,169.12 = 2,173.84/x
  3. Step 3: Cross multiply
    3,745.82x = 5,169.12 × 2,173.84
  4. Step 4: Simplify right side
    3,745.82x = 11,236,813.98
  5. Step 5: Solve for x
    x = 11,236,813.98/3,745.82
  6. Step 6: Final answer
    x = 2,999.83

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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.