To set up the proportion, we need a scenario that relates two ratios. Based on your mention of "penguins" and "fish tank," I will assume we are comparing distances. Let's set up the proportion based on two distances:
Let’s say the distance from the penguins to some marker is represented as 3054 feet. If the distance from the marker to the fish tank is known, let’s denote that distance as \(d\) feet.
Assume we also have another distance where the penguins are at a fixed distance from the marker. For example, let’s assume penguins are known to be 30 feet away from this marker and the fish tank is \(x\) feet away from this same marker.
The ratio of the distances can be set up as:
\[\frac{30 \ \text{feet}}{x \ \text{feet}} = \frac{3054 \ \text{feet}}{d \ \text{feet}}\]
To cross multiply, we would then get:
\[30 \cdot d = 3054 \cdot x\]
To solve for \(x\), we rearrange the equation:
\[x = \frac{30 \cdot d}{3054}\]
In problem-solving, I would need the actual value of \(d\) (the distance from the marker to the fish tank) to calculate \(x\).
As an example, let's say \(d = 1000\) feet. Now we can plug this value in:
\[x = \frac{30 \cdot 1000}{3054}\]
Now compute:
\[x = \frac{30000}{3054} \approx 9.83 \text{ feet}\]
Please provide me with the correct value for \(d\) or any additional details so I can ensure the computations are accurate and relevant!
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