Solution:
- Let the original price be 'x' rubles, which corresponds to 100%.
- After a discount, the price became 4500 rubles, which represents 75% of the original price.
- We can set up a proportion:
\[ \frac{x}{4500} = \frac{100}{75} \]
- Cross-multiply to solve for x:
\[ x \cdot 75 = 4500 \cdot 100 \]
- Calculate the right side:
\[ x \cdot 75 = 400000 \]
- Isolate x by dividing both sides by 75:
\[ x = \frac{400000}{75} \]
- Perform the division:
\[ x \approx 5333.33 \]
Answer: The original price was approximately 5333.33 rubles.