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Finding the Fourth Proportional to 4,644.36, 6,960.22 and 2,561.24

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Solution

The fourth proportional to 4,644.36, 6,960.22 and 2,561.24 is: 3,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.36 : 6,960.22 = 2,561.24 : x
  2. Step 2: Convert to fraction form
    4,644.36/6,960.22 = 2,561.24/x
  3. Step 3: Cross multiply
    4,644.36x = 6,960.22 × 2,561.24
  4. Step 4: Simplify right side
    4,644.36x = 17,826,793.87
  5. Step 5: Solve for x
    x = 17,826,793.87/4,644.36
  6. Step 6: Final answer
    x = 3,838.37

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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.