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Finding the Fourth Proportional to 3,717, 5,129.46 and 2,061

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Solution

The fourth proportional to 3,717, 5,129.46 and 2,061 is: 2,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717 : 5,129.46 = 2,061 : x
  2. Step 2: Convert to fraction form
    3,717/5,129.46 = 2,061/x
  3. Step 3: Cross multiply
    3,717x = 5,129.46 × 2,061
  4. Step 4: Simplify right side
    3,717x = 10,571,817.06
  5. Step 5: Solve for x
    x = 10,571,817.06/3,717
  6. Step 6: Final answer
    x = 2,844.18

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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.