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Finding the Fourth Proportional to 4,994.38, 6,892 and 2,868.41

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Solution

The fourth proportional to 4,994.38, 6,892 and 2,868.41 is: 3,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.38 : 6,892 = 2,868.41 : x
  2. Step 2: Convert to fraction form
    4,994.38/6,892 = 2,868.41/x
  3. Step 3: Cross multiply
    4,994.38x = 6,892 × 2,868.41
  4. Step 4: Simplify right side
    4,994.38x = 19,769,081.72
  5. Step 5: Solve for x
    x = 19,769,081.72/4,994.38
  6. Step 6: Final answer
    x = 3,958.27

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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.