1. **State the problem:** A community garden is surrounded by a fence with a total length of 3000 ft. For every 48 ft of fence, there are 4 posts. We need to find the total number of posts. 2. **Formula and explanation:** The number of posts is proportional to the length of the fence. We can find the number of posts by calculating how many 48 ft segments fit into 3000 ft and then multiplying by 4 posts per segment. 3. **Calculate the number of segments:** $$\frac{3000}{48}$$ 4. **Simplify the fraction:** $$\frac{3000}{48} = \frac{\cancel{3000}^{62.5}}{\cancel{48}^{1}} = 62.5$$ 5. **Calculate total posts:** $$62.5 \times 4 = 250$$ 6. **Interpretation:** There are 250 posts in total around the fence. **Final answer:** 250 posts