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Finding the Fourth Proportional to 6,105.72, 9,161.22 and 2,598.10

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Solution

The fourth proportional to 6,105.72, 9,161.22 and 2,598.10 is: 3,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.72 : 9,161.22 = 2,598.10 : x
  2. Step 2: Convert to fraction form
    6,105.72/9,161.22 = 2,598.10/x
  3. Step 3: Cross multiply
    6,105.72x = 9,161.22 × 2,598.10
  4. Step 4: Simplify right side
    6,105.72x = 23,801,765.68
  5. Step 5: Solve for x
    x = 23,801,765.68/6,105.72
  6. Step 6: Final answer
    x = 3,898.27

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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.