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Finding the Fourth Proportional to 3,661.28, 5,489.22 and 2,567.60

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Solution

The fourth proportional to 3,661.28, 5,489.22 and 2,567.60 is: 3,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.28 : 5,489.22 = 2,567.60 : x
  2. Step 2: Convert to fraction form
    3,661.28/5,489.22 = 2,567.60/x
  3. Step 3: Cross multiply
    3,661.28x = 5,489.22 × 2,567.60
  4. Step 4: Simplify right side
    3,661.28x = 14,094,121.27
  5. Step 5: Solve for x
    x = 14,094,121.27/3,661.28
  6. Step 6: Final answer
    x = 3,849.51

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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.