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Finding the Fourth Proportional to 5,841, 8,761.18 and 2,381.16

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Solution

The fourth proportional to 5,841, 8,761.18 and 2,381.16 is: 3,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841 : 8,761.18 = 2,381.16 : x
  2. Step 2: Convert to fraction form
    5,841/8,761.18 = 2,381.16/x
  3. Step 3: Cross multiply
    5,841x = 8,761.18 × 2,381.16
  4. Step 4: Simplify right side
    5,841x = 20,861,771.37
  5. Step 5: Solve for x
    x = 20,861,771.37/5,841
  6. Step 6: Final answer
    x = 3,571.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.