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Finding the Fourth Proportional to 5,847.26, 8,772.23 and 1,687.30

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Solution

The fourth proportional to 5,847.26, 8,772.23 and 1,687.30 is: 2,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.26 : 8,772.23 = 1,687.30 : x
  2. Step 2: Convert to fraction form
    5,847.26/8,772.23 = 1,687.30/x
  3. Step 3: Cross multiply
    5,847.26x = 8,772.23 × 1,687.30
  4. Step 4: Simplify right side
    5,847.26x = 14,801,383.68
  5. Step 5: Solve for x
    x = 14,801,383.68/5,847.26
  6. Step 6: Final answer
    x = 2,531.34

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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.