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Finding the Fourth Proportional to 3,894.82, 5,863.39 and 3,493

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Solution

The fourth proportional to 3,894.82, 5,863.39 and 3,493 is: 5,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.82 : 5,863.39 = 3,493 : x
  2. Step 2: Convert to fraction form
    3,894.82/5,863.39 = 3,493/x
  3. Step 3: Cross multiply
    3,894.82x = 5,863.39 × 3,493
  4. Step 4: Simplify right side
    3,894.82x = 20,480,821.27
  5. Step 5: Solve for x
    x = 20,480,821.27/3,894.82
  6. Step 6: Final answer
    x = 5,258.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.