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Finding the Fourth Proportional to 4,360.80, 6,546.06 and 4,163.16

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Solution

The fourth proportional to 4,360.80, 6,546.06 and 4,163.16 is: 6,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.80 : 6,546.06 = 4,163.16 : x
  2. Step 2: Convert to fraction form
    4,360.80/6,546.06 = 4,163.16/x
  3. Step 3: Cross multiply
    4,360.80x = 6,546.06 × 4,163.16
  4. Step 4: Simplify right side
    4,360.80x = 27,252,295.15
  5. Step 5: Solve for x
    x = 27,252,295.15/4,360.80
  6. Step 6: Final answer
    x = 6,249.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.