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Finding the Fourth Proportional to 3,201.72, 4,418.73 and 1,857.63

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Solution

The fourth proportional to 3,201.72, 4,418.73 and 1,857.63 is: 2,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.72 : 4,418.73 = 1,857.63 : x
  2. Step 2: Convert to fraction form
    3,201.72/4,418.73 = 1,857.63/x
  3. Step 3: Cross multiply
    3,201.72x = 4,418.73 × 1,857.63
  4. Step 4: Simplify right side
    3,201.72x = 8,208,334.03
  5. Step 5: Solve for x
    x = 8,208,334.03/3,201.72
  6. Step 6: Final answer
    x = 2,563.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.