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Finding the Fourth Proportional to 3,828.92, 5,739.42 and 2,093.84

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Solution

The fourth proportional to 3,828.92, 5,739.42 and 2,093.84 is: 3,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.92 : 5,739.42 = 2,093.84 : x
  2. Step 2: Convert to fraction form
    3,828.92/5,739.42 = 2,093.84/x
  3. Step 3: Cross multiply
    3,828.92x = 5,739.42 × 2,093.84
  4. Step 4: Simplify right side
    3,828.92x = 12,017,427.17
  5. Step 5: Solve for x
    x = 12,017,427.17/3,828.92
  6. Step 6: Final answer
    x = 3,138.59

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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.