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Finding the Fourth Proportional to 3,836.76, 5,749.70 and 2,967

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Solution

The fourth proportional to 3,836.76, 5,749.70 and 2,967 is: 4,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.76 : 5,749.70 = 2,967 : x
  2. Step 2: Convert to fraction form
    3,836.76/5,749.70 = 2,967/x
  3. Step 3: Cross multiply
    3,836.76x = 5,749.70 × 2,967
  4. Step 4: Simplify right side
    3,836.76x = 17,059,359.90
  5. Step 5: Solve for x
    x = 17,059,359.90/3,836.76
  6. Step 6: Final answer
    x = 4,446.29

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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.