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Finding the Fourth Proportional to 5,274.56, 7,906.36 and 2,153.20

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Solution

The fourth proportional to 5,274.56, 7,906.36 and 2,153.20 is: 3,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.56 : 7,906.36 = 2,153.20 : x
  2. Step 2: Convert to fraction form
    5,274.56/7,906.36 = 2,153.20/x
  3. Step 3: Cross multiply
    5,274.56x = 7,906.36 × 2,153.20
  4. Step 4: Simplify right side
    5,274.56x = 17,023,974.35
  5. Step 5: Solve for x
    x = 17,023,974.35/5,274.56
  6. Step 6: Final answer
    x = 3,227.56

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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.