1. **State the problem:** We are given that 5 grams of gold costs 2.963 rm. We need to find the cost of 1 gram of gold. 2. **Formula used:** To find the cost per gram, we use the unit rate formula: $$\text{Cost per gram} = \frac{\text{Total cost}}{\text{Total grams}}$$ 3. **Apply the formula:** $$\text{Cost per gram} = \frac{2.963}{5}$$ 4. **Simplify the fraction:** $$\text{Cost per gram} = \frac{\cancel{2.963}}{\cancel{5}} = 0.5926$$ 5. **Interpretation:** The cost of 1 gram of gold is approximately 0.5926 rm. **Final answer:** $$\boxed{0.5926}$$