Finding the Fourth Proportional to 5,056, 6,977.28 and 2,848
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Solution
The fourth proportional to 5,056, 6,977.28 and 2,848 is: 3,930.24
Step by Step Solution
- Step 1: Write the proportion equation
5,056 : 6,977.28 = 2,848 : x - Step 2: Convert to fraction form
5,056/6,977.28 = 2,848/x - Step 3: Cross multiply
5,056x = 6,977.28 × 2,848 - Step 4: Simplify right side
5,056x = 19,871,293.44 - Step 5: Solve for x
x = 19,871,293.44/5,056 - Step 6: Final answer
x = 3,930.24
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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.