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Finding the Fourth Proportional to 3,824.66, 5,278.05 and 2,232.42

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Solution

The fourth proportional to 3,824.66, 5,278.05 and 2,232.42 is: 3,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.66 : 5,278.05 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    3,824.66/5,278.05 = 2,232.42/x
  3. Step 3: Cross multiply
    3,824.66x = 5,278.05 × 2,232.42
  4. Step 4: Simplify right side
    3,824.66x = 11,782,824.38
  5. Step 5: Solve for x
    x = 11,782,824.38/3,824.66
  6. Step 6: Final answer
    x = 3,080.75

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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.