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Finding the Fourth Proportional to 6,163.65, 8,504.72 and 3,644.50

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Solution

The fourth proportional to 6,163.65, 8,504.72 and 3,644.50 is: 5,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.65 : 8,504.72 = 3,644.50 : x
  2. Step 2: Convert to fraction form
    6,163.65/8,504.72 = 3,644.50/x
  3. Step 3: Cross multiply
    6,163.65x = 8,504.72 × 3,644.50
  4. Step 4: Simplify right side
    6,163.65x = 30,995,409.52
  5. Step 5: Solve for x
    x = 30,995,409.52/6,163.65
  6. Step 6: Final answer
    x = 5,028.74

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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.