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Finding the Fourth Proportional to 5,107.69, 7,651.21 and 4,682.44

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Solution

The fourth proportional to 5,107.69, 7,651.21 and 4,682.44 is: 7,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.69 : 7,651.21 = 4,682.44 : x
  2. Step 2: Convert to fraction form
    5,107.69/7,651.21 = 4,682.44/x
  3. Step 3: Cross multiply
    5,107.69x = 7,651.21 × 4,682.44
  4. Step 4: Simplify right side
    5,107.69x = 35,826,338.39
  5. Step 5: Solve for x
    x = 35,826,338.39/5,107.69
  6. Step 6: Final answer
    x = 7,014.19

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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.