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Finding the Fourth Proportional to 3,702.63, 5,556.67 and 1,754.83

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Solution

The fourth proportional to 3,702.63, 5,556.67 and 1,754.83 is: 2,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.63 : 5,556.67 = 1,754.83 : x
  2. Step 2: Convert to fraction form
    3,702.63/5,556.67 = 1,754.83/x
  3. Step 3: Cross multiply
    3,702.63x = 5,556.67 × 1,754.83
  4. Step 4: Simplify right side
    3,702.63x = 9,751,011.22
  5. Step 5: Solve for x
    x = 9,751,011.22/3,702.63
  6. Step 6: Final answer
    x = 2,633.54

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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.