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Finding the Fourth Proportional to 3,770.00, 5,632.67 and 3,640.80

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Solution

The fourth proportional to 3,770.00, 5,632.67 and 3,640.80 is: 5,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.00 : 5,632.67 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    3,770.00/5,632.67 = 3,640.80/x
  3. Step 3: Cross multiply
    3,770.00x = 5,632.67 × 3,640.80
  4. Step 4: Simplify right side
    3,770.00x = 20,507,434.04
  5. Step 5: Solve for x
    x = 20,507,434.04/3,770.00
  6. Step 6: Final answer
    x = 5,439.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.