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Finding the Fourth Proportional to 5,161.16, 7,741.74 and 2,081

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Solution

The fourth proportional to 5,161.16, 7,741.74 and 2,081 is: 3,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.16 : 7,741.74 = 2,081 : x
  2. Step 2: Convert to fraction form
    5,161.16/7,741.74 = 2,081/x
  3. Step 3: Cross multiply
    5,161.16x = 7,741.74 × 2,081
  4. Step 4: Simplify right side
    5,161.16x = 16,110,560.94
  5. Step 5: Solve for x
    x = 16,110,560.94/5,161.16
  6. Step 6: Final answer
    x = 3,121.50

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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.