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Finding the Fourth Proportional to 3,828.96, 5,745.96 and 1,638.12

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Solution

The fourth proportional to 3,828.96, 5,745.96 and 1,638.12 is: 2,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.96 : 5,745.96 = 1,638.12 : x
  2. Step 2: Convert to fraction form
    3,828.96/5,745.96 = 1,638.12/x
  3. Step 3: Cross multiply
    3,828.96x = 5,745.96 × 1,638.12
  4. Step 4: Simplify right side
    3,828.96x = 9,412,572.00
  5. Step 5: Solve for x
    x = 9,412,572.00/3,828.96
  6. Step 6: Final answer
    x = 2,458.26

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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.