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Finding the Fourth Proportional to 5,471.16, 8,207.82 and 1,960.23

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Solution

The fourth proportional to 5,471.16, 8,207.82 and 1,960.23 is: 2,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.16 : 8,207.82 = 1,960.23 : x
  2. Step 2: Convert to fraction form
    5,471.16/8,207.82 = 1,960.23/x
  3. Step 3: Cross multiply
    5,471.16x = 8,207.82 × 1,960.23
  4. Step 4: Simplify right side
    5,471.16x = 16,089,182.04
  5. Step 5: Solve for x
    x = 16,089,182.04/5,471.16
  6. Step 6: Final answer
    x = 2,940.72

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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.