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Finding the Fourth Proportional to 4,672.44, 6,997.73 and 2,589.12

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Solution

The fourth proportional to 4,672.44, 6,997.73 and 2,589.12 is: 3,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.44 : 6,997.73 = 2,589.12 : x
  2. Step 2: Convert to fraction form
    4,672.44/6,997.73 = 2,589.12/x
  3. Step 3: Cross multiply
    4,672.44x = 6,997.73 × 2,589.12
  4. Step 4: Simplify right side
    4,672.44x = 18,117,949.75
  5. Step 5: Solve for x
    x = 18,117,949.75/4,672.44
  6. Step 6: Final answer
    x = 3,877.62

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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.