
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the Cartesian coordinate system $xoy$, line $l$ passes through point $M(3,4)$ with an inclination angle of $45^\circ$. Using the origin as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established, which has the same unit length as the Cartesian coordinate system $xoy$. The polar equation of circle $C$ is $\rho=4\sin\theta$.  
(Ⅰ) Find the parametric equation of line $l$ and the standard equation of circle $C$;  
(Ⅱ) Suppose circle $C$ intersects line $l$ at points $A$ and $B$, find the value of $|MA|\cdot|MB|$.

Present the answer in LaTex format: \boxed{Your answer}
user