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Finding the Fourth Proportional to 6,790.25, 9,370.94 and 3,805.94

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Solution

The fourth proportional to 6,790.25, 9,370.94 and 3,805.94 is: 5,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.25 : 9,370.94 = 3,805.94 : x
  2. Step 2: Convert to fraction form
    6,790.25/9,370.94 = 3,805.94/x
  3. Step 3: Cross multiply
    6,790.25x = 9,370.94 × 3,805.94
  4. Step 4: Simplify right side
    6,790.25x = 35,665,235.38
  5. Step 5: Solve for x
    x = 35,665,235.38/6,790.25
  6. Step 6: Final answer
    x = 5,252.42

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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.