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Finding the Fourth Proportional to 5,635.82, 7,772.36 and 3,644.30

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Solution

The fourth proportional to 5,635.82, 7,772.36 and 3,644.30 is: 5,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.82 : 7,772.36 = 3,644.30 : x
  2. Step 2: Convert to fraction form
    5,635.82/7,772.36 = 3,644.30/x
  3. Step 3: Cross multiply
    5,635.82x = 7,772.36 × 3,644.30
  4. Step 4: Simplify right side
    5,635.82x = 28,324,811.55
  5. Step 5: Solve for x
    x = 28,324,811.55/5,635.82
  6. Step 6: Final answer
    x = 5,025.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.