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Finding the Fourth Proportional to 4,163.91, 6,245.71 and 1,043.94

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Solution

The fourth proportional to 4,163.91, 6,245.71 and 1,043.94 is: 1,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.91 : 6,245.71 = 1,043.94 : x
  2. Step 2: Convert to fraction form
    4,163.91/6,245.71 = 1,043.94/x
  3. Step 3: Cross multiply
    4,163.91x = 6,245.71 × 1,043.94
  4. Step 4: Simplify right side
    4,163.91x = 6,520,146.50
  5. Step 5: Solve for x
    x = 6,520,146.50/4,163.91
  6. Step 6: Final answer
    x = 1,565.87

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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.