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Finding the Fourth Proportional to 4,865.38, 6,714.23 and 2,769.50

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Solution

The fourth proportional to 4,865.38, 6,714.23 and 2,769.50 is: 3,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.38 : 6,714.23 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    4,865.38/6,714.23 = 2,769.50/x
  3. Step 3: Cross multiply
    4,865.38x = 6,714.23 × 2,769.50
  4. Step 4: Simplify right side
    4,865.38x = 18,595,046.14
  5. Step 5: Solve for x
    x = 18,595,046.14/4,865.38
  6. Step 6: Final answer
    x = 3,821.91

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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.