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Finding the Fourth Proportional to 5,107.86, 7,658.22 and 2,609.81

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Solution

The fourth proportional to 5,107.86, 7,658.22 and 2,609.81 is: 3,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.86 : 7,658.22 = 2,609.81 : x
  2. Step 2: Convert to fraction form
    5,107.86/7,658.22 = 2,609.81/x
  3. Step 3: Cross multiply
    5,107.86x = 7,658.22 × 2,609.81
  4. Step 4: Simplify right side
    5,107.86x = 19,986,460.85
  5. Step 5: Solve for x
    x = 19,986,460.85/5,107.86
  6. Step 6: Final answer
    x = 3,912.88

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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.