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Finding the Fourth Proportional to 4,201.54, 6,305.67 and 1,893.22

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Solution

The fourth proportional to 4,201.54, 6,305.67 and 1,893.22 is: 2,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.54 : 6,305.67 = 1,893.22 : x
  2. Step 2: Convert to fraction form
    4,201.54/6,305.67 = 1,893.22/x
  3. Step 3: Cross multiply
    4,201.54x = 6,305.67 × 1,893.22
  4. Step 4: Simplify right side
    4,201.54x = 11,938,020.56
  5. Step 5: Solve for x
    x = 11,938,020.56/4,201.54
  6. Step 6: Final answer
    x = 2,841.34

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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.