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Finding the Fourth Proportional to 4,281.85, 5,906.22 and 2,771.38

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Solution

The fourth proportional to 4,281.85, 5,906.22 and 2,771.38 is: 3,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.85 : 5,906.22 = 2,771.38 : x
  2. Step 2: Convert to fraction form
    4,281.85/5,906.22 = 2,771.38/x
  3. Step 3: Cross multiply
    4,281.85x = 5,906.22 × 2,771.38
  4. Step 4: Simplify right side
    4,281.85x = 16,368,379.98
  5. Step 5: Solve for x
    x = 16,368,379.98/4,281.85
  6. Step 6: Final answer
    x = 3,822.74

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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.