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Finding the Fourth Proportional to 3,745.46, 5,616.46 and 2,185.92

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Solution

The fourth proportional to 3,745.46, 5,616.46 and 2,185.92 is: 3,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.46 : 5,616.46 = 2,185.92 : x
  2. Step 2: Convert to fraction form
    3,745.46/5,616.46 = 2,185.92/x
  3. Step 3: Cross multiply
    3,745.46x = 5,616.46 × 2,185.92
  4. Step 4: Simplify right side
    3,745.46x = 12,277,121.31
  5. Step 5: Solve for x
    x = 12,277,121.31/3,745.46
  6. Step 6: Final answer
    x = 3,277.87

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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.