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Finding the Fourth Proportional to 6,438.24, 8,884.80 and 3,644.28

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Solution

The fourth proportional to 6,438.24, 8,884.80 and 3,644.28 is: 5,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.24 : 8,884.80 = 3,644.28 : x
  2. Step 2: Convert to fraction form
    6,438.24/8,884.80 = 3,644.28/x
  3. Step 3: Cross multiply
    6,438.24x = 8,884.80 × 3,644.28
  4. Step 4: Simplify right side
    6,438.24x = 32,378,698.94
  5. Step 5: Solve for x
    x = 32,378,698.94/6,438.24
  6. Step 6: Final answer
    x = 5,029.12

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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.