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Finding the Fourth Proportional to 3,294.33, 4,939.87 and 1,214.25

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Solution

The fourth proportional to 3,294.33, 4,939.87 and 1,214.25 is: 1,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.33 : 4,939.87 = 1,214.25 : x
  2. Step 2: Convert to fraction form
    3,294.33/4,939.87 = 1,214.25/x
  3. Step 3: Cross multiply
    3,294.33x = 4,939.87 × 1,214.25
  4. Step 4: Simplify right side
    3,294.33x = 5,998,237.15
  5. Step 5: Solve for x
    x = 5,998,237.15/3,294.33
  6. Step 6: Final answer
    x = 1,820.78

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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.