Finding the Fourth Proportional to 5,578, 7,698 and 3,094
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Solution
The fourth proportional to 5,578, 7,698 and 3,094 is: 4,269.92
Step by Step Solution
- Step 1: Write the proportion equation
5,578 : 7,698 = 3,094 : x - Step 2: Convert to fraction form
5,578/7,698 = 3,094/x - Step 3: Cross multiply
5,578x = 7,698 × 3,094 - Step 4: Simplify right side
5,578x = 23,817,612 - Step 5: Solve for x
x = 23,817,612/5,578 - Step 6: Final answer
x = 4,269.92
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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.