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Finding the Fourth Proportional to 5,930.38, 8,894.42 and 2,766.94

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Solution

The fourth proportional to 5,930.38, 8,894.42 and 2,766.94 is: 4,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.38 : 8,894.42 = 2,766.94 : x
  2. Step 2: Convert to fraction form
    5,930.38/8,894.42 = 2,766.94/x
  3. Step 3: Cross multiply
    5,930.38x = 8,894.42 × 2,766.94
  4. Step 4: Simplify right side
    5,930.38x = 24,610,326.47
  5. Step 5: Solve for x
    x = 24,610,326.47/5,930.38
  6. Step 6: Final answer
    x = 4,149.87

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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.