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Finding the Fourth Proportional to 6,517.44, 8,994.24 and 3,865.44

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Solution

The fourth proportional to 6,517.44, 8,994.24 and 3,865.44 is: 5,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.44 : 8,994.24 = 3,865.44 : x
  2. Step 2: Convert to fraction form
    6,517.44/8,994.24 = 3,865.44/x
  3. Step 3: Cross multiply
    6,517.44x = 8,994.24 × 3,865.44
  4. Step 4: Simplify right side
    6,517.44x = 34,766,695.07
  5. Step 5: Solve for x
    x = 34,766,695.07/6,517.44
  6. Step 6: Final answer
    x = 5,334.41

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Why These Related Problems?

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