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Finding the Fourth Proportional to 3,171.65, 4,372.22 and 2,224.57

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Solution

The fourth proportional to 3,171.65, 4,372.22 and 2,224.57 is: 3,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.65 : 4,372.22 = 2,224.57 : x
  2. Step 2: Convert to fraction form
    3,171.65/4,372.22 = 2,224.57/x
  3. Step 3: Cross multiply
    3,171.65x = 4,372.22 × 2,224.57
  4. Step 4: Simplify right side
    3,171.65x = 9,726,309.45
  5. Step 5: Solve for x
    x = 9,726,309.45/3,171.65
  6. Step 6: Final answer
    x = 3,066.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.