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Finding the Fourth Proportional to 4,300.97, 5,896.68 and 4,223.21

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Solution

The fourth proportional to 4,300.97, 5,896.68 and 4,223.21 is: 5,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.97 : 5,896.68 = 4,223.21 : x
  2. Step 2: Convert to fraction form
    4,300.97/5,896.68 = 4,223.21/x
  3. Step 3: Cross multiply
    4,300.97x = 5,896.68 × 4,223.21
  4. Step 4: Simplify right side
    4,300.97x = 24,902,917.94
  5. Step 5: Solve for x
    x = 24,902,917.94/4,300.97
  6. Step 6: Final answer
    x = 5,790.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.