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Finding the Fourth Proportional to 3,761.00, 5,640.57 and 1,421.22

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Solution

The fourth proportional to 3,761.00, 5,640.57 and 1,421.22 is: 2,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.00 : 5,640.57 = 1,421.22 : x
  2. Step 2: Convert to fraction form
    3,761.00/5,640.57 = 1,421.22/x
  3. Step 3: Cross multiply
    3,761.00x = 5,640.57 × 1,421.22
  4. Step 4: Simplify right side
    3,761.00x = 8,016,490.90
  5. Step 5: Solve for x
    x = 8,016,490.90/3,761.00
  6. Step 6: Final answer
    x = 2,131.48

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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.