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Finding the Fourth Proportional to 3,838.94, 5,760.03 and 1,891.16

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Solution

The fourth proportional to 3,838.94, 5,760.03 and 1,891.16 is: 2,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.94 : 5,760.03 = 1,891.16 : x
  2. Step 2: Convert to fraction form
    3,838.94/5,760.03 = 1,891.16/x
  3. Step 3: Cross multiply
    3,838.94x = 5,760.03 × 1,891.16
  4. Step 4: Simplify right side
    3,838.94x = 10,893,138.33
  5. Step 5: Solve for x
    x = 10,893,138.33/3,838.94
  6. Step 6: Final answer
    x = 2,837.54

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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.