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Finding the Fourth Proportional to 5,644.83, 8,468.87 and 3,694.62

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Solution

The fourth proportional to 5,644.83, 8,468.87 and 3,694.62 is: 5,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.83 : 8,468.87 = 3,694.62 : x
  2. Step 2: Convert to fraction form
    5,644.83/8,468.87 = 3,694.62/x
  3. Step 3: Cross multiply
    5,644.83x = 8,468.87 × 3,694.62
  4. Step 4: Simplify right side
    5,644.83x = 31,289,238.01
  5. Step 5: Solve for x
    x = 31,289,238.01/5,644.83
  6. Step 6: Final answer
    x = 5,542.99

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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.