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Finding the Fourth Proportional to 3,632.94, 5,441.67 and 2,745.65

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Solution

The fourth proportional to 3,632.94, 5,441.67 and 2,745.65 is: 4,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.94 : 5,441.67 = 2,745.65 : x
  2. Step 2: Convert to fraction form
    3,632.94/5,441.67 = 2,745.65/x
  3. Step 3: Cross multiply
    3,632.94x = 5,441.67 × 2,745.65
  4. Step 4: Simplify right side
    3,632.94x = 14,940,894.03
  5. Step 5: Solve for x
    x = 14,940,894.03/3,632.94
  6. Step 6: Final answer
    x = 4,112.62

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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.