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Finding the Fourth Proportional to 3,164.43, 4,363.56 and 2,171.16

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Solution

The fourth proportional to 3,164.43, 4,363.56 and 2,171.16 is: 2,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.43 : 4,363.56 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    3,164.43/4,363.56 = 2,171.16/x
  3. Step 3: Cross multiply
    3,164.43x = 4,363.56 × 2,171.16
  4. Step 4: Simplify right side
    3,164.43x = 9,473,986.93
  5. Step 5: Solve for x
    x = 9,473,986.93/3,164.43
  6. Step 6: Final answer
    x = 2,993.90

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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.