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Finding the Fourth Proportional to 5,937.69, 8,905.17 and 2,649

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Solution

The fourth proportional to 5,937.69, 8,905.17 and 2,649 is: 3,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.69 : 8,905.17 = 2,649 : x
  2. Step 2: Convert to fraction form
    5,937.69/8,905.17 = 2,649/x
  3. Step 3: Cross multiply
    5,937.69x = 8,905.17 × 2,649
  4. Step 4: Simplify right side
    5,937.69x = 23,589,795.33
  5. Step 5: Solve for x
    x = 23,589,795.33/5,937.69
  6. Step 6: Final answer
    x = 3,972.89

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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.