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Finding the Fourth Proportional to 3,762.97, 5,640.20 and 2,835.62

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Solution

The fourth proportional to 3,762.97, 5,640.20 and 2,835.62 is: 4,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.97 : 5,640.20 = 2,835.62 : x
  2. Step 2: Convert to fraction form
    3,762.97/5,640.20 = 2,835.62/x
  3. Step 3: Cross multiply
    3,762.97x = 5,640.20 × 2,835.62
  4. Step 4: Simplify right side
    3,762.97x = 15,993,453.33
  5. Step 5: Solve for x
    x = 15,993,453.33/3,762.97
  6. Step 6: Final answer
    x = 4,250.22

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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.