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Finding the Fourth Proportional to 3,828.08, 5,743 and 1,092.08

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Solution

The fourth proportional to 3,828.08, 5,743 and 1,092.08 is: 1,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.08 : 5,743 = 1,092.08 : x
  2. Step 2: Convert to fraction form
    3,828.08/5,743 = 1,092.08/x
  3. Step 3: Cross multiply
    3,828.08x = 5,743 × 1,092.08
  4. Step 4: Simplify right side
    3,828.08x = 6,271,815.44
  5. Step 5: Solve for x
    x = 6,271,815.44/3,828.08
  6. Step 6: Final answer
    x = 1,638.37

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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.