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Finding the Fourth Proportional to 5,928.38, 8,181.23 and 3,836.15

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Solution

The fourth proportional to 5,928.38, 8,181.23 and 3,836.15 is: 5,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.38 : 8,181.23 = 3,836.15 : x
  2. Step 2: Convert to fraction form
    5,928.38/8,181.23 = 3,836.15/x
  3. Step 3: Cross multiply
    5,928.38x = 8,181.23 × 3,836.15
  4. Step 4: Simplify right side
    5,928.38x = 31,384,425.46
  5. Step 5: Solve for x
    x = 31,384,425.46/5,928.38
  6. Step 6: Final answer
    x = 5,293.93

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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.