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Finding the Fourth Proportional to 4,202.44, 6,302.54 and 2,553.28

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Solution

The fourth proportional to 4,202.44, 6,302.54 and 2,553.28 is: 3,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.44 : 6,302.54 = 2,553.28 : x
  2. Step 2: Convert to fraction form
    4,202.44/6,302.54 = 2,553.28/x
  3. Step 3: Cross multiply
    4,202.44x = 6,302.54 × 2,553.28
  4. Step 4: Simplify right side
    4,202.44x = 16,092,149.33
  5. Step 5: Solve for x
    x = 16,092,149.33/4,202.44
  6. Step 6: Final answer
    x = 3,829.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.