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Finding the Fourth Proportional to 4,994.38, 6,892.41 and 3,004.12

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Solution

The fourth proportional to 4,994.38, 6,892.41 and 3,004.12 is: 4,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.38 : 6,892.41 = 3,004.12 : x
  2. Step 2: Convert to fraction form
    4,994.38/6,892.41 = 3,004.12/x
  3. Step 3: Cross multiply
    4,994.38x = 6,892.41 × 3,004.12
  4. Step 4: Simplify right side
    4,994.38x = 20,705,626.73
  5. Step 5: Solve for x
    x = 20,705,626.73/4,994.38
  6. Step 6: Final answer
    x = 4,145.79

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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.