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Finding the Fourth Proportional to 3,824.38, 5,276.38 and 2,230.66

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Solution

The fourth proportional to 3,824.38, 5,276.38 and 2,230.66 is: 3,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.38 : 5,276.38 = 2,230.66 : x
  2. Step 2: Convert to fraction form
    3,824.38/5,276.38 = 2,230.66/x
  3. Step 3: Cross multiply
    3,824.38x = 5,276.38 × 2,230.66
  4. Step 4: Simplify right side
    3,824.38x = 11,769,809.81
  5. Step 5: Solve for x
    x = 11,769,809.81/3,824.38
  6. Step 6: Final answer
    x = 3,077.57

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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.