Finding the Fourth Proportional to 5,052, 6,971.76 and 2,844
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Solution
The fourth proportional to 5,052, 6,971.76 and 2,844 is: 3,924.72
Step by Step Solution
- Step 1: Write the proportion equation
5,052 : 6,971.76 = 2,844 : x - Step 2: Convert to fraction form
5,052/6,971.76 = 2,844/x - Step 3: Cross multiply
5,052x = 6,971.76 × 2,844 - Step 4: Simplify right side
5,052x = 19,827,685.44 - Step 5: Solve for x
x = 19,827,685.44/5,052 - Step 6: Final answer
x = 3,924.72
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.