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Finding the Fourth Proportional to 3,874, 5,812.12 and 1,138

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Solution

The fourth proportional to 3,874, 5,812.12 and 1,138 is: 1,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,812.12 = 1,138 : x
  2. Step 2: Convert to fraction form
    3,874/5,812.12 = 1,138/x
  3. Step 3: Cross multiply
    3,874x = 5,812.12 × 1,138
  4. Step 4: Simplify right side
    3,874x = 6,614,192.56
  5. Step 5: Solve for x
    x = 6,614,192.56/3,874
  6. Step 6: Final answer
    x = 1,707.33

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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.