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Finding the Fourth Proportional to 5,789.94, 7,994.07 and 3,696.90

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Solution

The fourth proportional to 5,789.94, 7,994.07 and 3,696.90 is: 5,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.94 : 7,994.07 = 3,696.90 : x
  2. Step 2: Convert to fraction form
    5,789.94/7,994.07 = 3,696.90/x
  3. Step 3: Cross multiply
    5,789.94x = 7,994.07 × 3,696.90
  4. Step 4: Simplify right side
    5,789.94x = 29,553,277.38
  5. Step 5: Solve for x
    x = 29,553,277.38/5,789.94
  6. Step 6: Final answer
    x = 5,104.25

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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.