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Finding the Fourth Proportional to 3,796.40, 5,694.60 and 2,824.40

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Solution

The fourth proportional to 3,796.40, 5,694.60 and 2,824.40 is: 4,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,694.60 = 2,824.40 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,694.60 = 2,824.40/x
  3. Step 3: Cross multiply
    3,796.40x = 5,694.60 × 2,824.40
  4. Step 4: Simplify right side
    3,796.40x = 16,083,828.24
  5. Step 5: Solve for x
    x = 16,083,828.24/3,796.40
  6. Step 6: Final answer
    x = 4,236.60

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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.