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Finding the Fourth Proportional to 5,766.27, 8,651.44 and 2,846.62

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Solution

The fourth proportional to 5,766.27, 8,651.44 and 2,846.62 is: 4,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.27 : 8,651.44 = 2,846.62 : x
  2. Step 2: Convert to fraction form
    5,766.27/8,651.44 = 2,846.62/x
  3. Step 3: Cross multiply
    5,766.27x = 8,651.44 × 2,846.62
  4. Step 4: Simplify right side
    5,766.27x = 24,627,362.13
  5. Step 5: Solve for x
    x = 24,627,362.13/5,766.27
  6. Step 6: Final answer
    x = 4,270.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.