Finding the Fourth Proportional to 5,628, 8,442 and 1,524
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Solution
The fourth proportional to 5,628, 8,442 and 1,524 is: 2,286
Step by Step Solution
- Step 1: Write the proportion equation
5,628 : 8,442 = 1,524 : x - Step 2: Convert to fraction form
5,628/8,442 = 1,524/x - Step 3: Cross multiply
5,628x = 8,442 × 1,524 - Step 4: Simplify right side
5,628x = 12,865,608 - Step 5: Solve for x
x = 12,865,608/5,628 - Step 6: Final answer
x = 2,286
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.