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Finding the Fourth Proportional to 3,836.58, 5,295.23 and 2,243.45

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Solution

The fourth proportional to 3,836.58, 5,295.23 and 2,243.45 is: 3,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.58 : 5,295.23 = 2,243.45 : x
  2. Step 2: Convert to fraction form
    3,836.58/5,295.23 = 2,243.45/x
  3. Step 3: Cross multiply
    3,836.58x = 5,295.23 × 2,243.45
  4. Step 4: Simplify right side
    3,836.58x = 11,879,546.05
  5. Step 5: Solve for x
    x = 11,879,546.05/3,836.58
  6. Step 6: Final answer
    x = 3,096.39

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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.