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Finding the Fourth Proportional to 5,102.26, 7,651.46 and 1,769.68

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Solution

The fourth proportional to 5,102.26, 7,651.46 and 1,769.68 is: 2,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.26 : 7,651.46 = 1,769.68 : x
  2. Step 2: Convert to fraction form
    5,102.26/7,651.46 = 1,769.68/x
  3. Step 3: Cross multiply
    5,102.26x = 7,651.46 × 1,769.68
  4. Step 4: Simplify right side
    5,102.26x = 13,540,635.73
  5. Step 5: Solve for x
    x = 13,540,635.73/5,102.26
  6. Step 6: Final answer
    x = 2,653.85

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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.