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Finding the Fourth Proportional to 5,479, 8,222.98 and 3,838.84

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Solution

The fourth proportional to 5,479, 8,222.98 and 3,838.84 is: 5,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479 : 8,222.98 = 3,838.84 : x
  2. Step 2: Convert to fraction form
    5,479/8,222.98 = 3,838.84/x
  3. Step 3: Cross multiply
    5,479x = 8,222.98 × 3,838.84
  4. Step 4: Simplify right side
    5,479x = 31,566,704.54
  5. Step 5: Solve for x
    x = 31,566,704.54/5,479
  6. Step 6: Final answer
    x = 5,761.40

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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.