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Finding the Fourth Proportional to 3,702.44, 5,553.43 and 2,039.78

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Solution

The fourth proportional to 3,702.44, 5,553.43 and 2,039.78 is: 3,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.44 : 5,553.43 = 2,039.78 : x
  2. Step 2: Convert to fraction form
    3,702.44/5,553.43 = 2,039.78/x
  3. Step 3: Cross multiply
    3,702.44x = 5,553.43 × 2,039.78
  4. Step 4: Simplify right side
    3,702.44x = 11,327,784.23
  5. Step 5: Solve for x
    x = 11,327,784.23/3,702.44
  6. Step 6: Final answer
    x = 3,059.54

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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.