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Finding the Fourth Proportional to 6,439.12, 8,884.20 and 3,644.56

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Solution

The fourth proportional to 6,439.12, 8,884.20 and 3,644.56 is: 5,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.12 : 8,884.20 = 3,644.56 : x
  2. Step 2: Convert to fraction form
    6,439.12/8,884.20 = 3,644.56/x
  3. Step 3: Cross multiply
    6,439.12x = 8,884.20 × 3,644.56
  4. Step 4: Simplify right side
    6,439.12x = 32,378,999.95
  5. Step 5: Solve for x
    x = 32,378,999.95/6,439.12
  6. Step 6: Final answer
    x = 5,028.48

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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.