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Finding the Fourth Proportional to 5,782.27, 8,673.41 and 2,857.63

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Solution

The fourth proportional to 5,782.27, 8,673.41 and 2,857.63 is: 4,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.27 : 8,673.41 = 2,857.63 : x
  2. Step 2: Convert to fraction form
    5,782.27/8,673.41 = 2,857.63/x
  3. Step 3: Cross multiply
    5,782.27x = 8,673.41 × 2,857.63
  4. Step 4: Simplify right side
    5,782.27x = 24,785,396.62
  5. Step 5: Solve for x
    x = 24,785,396.62/5,782.27
  6. Step 6: Final answer
    x = 4,286.45

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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.