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Finding the Fourth Proportional to 3,702.75, 5,556.86 and 1,754.96

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Solution

The fourth proportional to 3,702.75, 5,556.86 and 1,754.96 is: 2,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.75 : 5,556.86 = 1,754.96 : x
  2. Step 2: Convert to fraction form
    3,702.75/5,556.86 = 1,754.96/x
  3. Step 3: Cross multiply
    3,702.75x = 5,556.86 × 1,754.96
  4. Step 4: Simplify right side
    3,702.75x = 9,752,067.03
  5. Step 5: Solve for x
    x = 9,752,067.03/3,702.75
  6. Step 6: Final answer
    x = 2,633.74

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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.