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Finding the Fourth Proportional to 5,172.72, 7,757.64 and 2,094

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Solution

The fourth proportional to 5,172.72, 7,757.64 and 2,094 is: 3,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.72 : 7,757.64 = 2,094 : x
  2. Step 2: Convert to fraction form
    5,172.72/7,757.64 = 2,094/x
  3. Step 3: Cross multiply
    5,172.72x = 7,757.64 × 2,094
  4. Step 4: Simplify right side
    5,172.72x = 16,244,498.16
  5. Step 5: Solve for x
    x = 16,244,498.16/5,172.72
  6. Step 6: Final answer
    x = 3,140.42

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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.