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Finding the Fourth Proportional to 3,906.71, 5,852.21 and 1,823.84

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Solution

The fourth proportional to 3,906.71, 5,852.21 and 1,823.84 is: 2,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.71 : 5,852.21 = 1,823.84 : x
  2. Step 2: Convert to fraction form
    3,906.71/5,852.21 = 1,823.84/x
  3. Step 3: Cross multiply
    3,906.71x = 5,852.21 × 1,823.84
  4. Step 4: Simplify right side
    3,906.71x = 10,673,456.31
  5. Step 5: Solve for x
    x = 10,673,456.31/3,906.71
  6. Step 6: Final answer
    x = 2,732.09

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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.