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Finding the Fourth Proportional to 5,766, 8,640.96 and 2,638.44

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Solution

The fourth proportional to 5,766, 8,640.96 and 2,638.44 is: 3,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766 : 8,640.96 = 2,638.44 : x
  2. Step 2: Convert to fraction form
    5,766/8,640.96 = 2,638.44/x
  3. Step 3: Cross multiply
    5,766x = 8,640.96 × 2,638.44
  4. Step 4: Simplify right side
    5,766x = 22,798,654.50
  5. Step 5: Solve for x
    x = 22,798,654.50/5,766
  6. Step 6: Final answer
    x = 3,953.98

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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.