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Finding the Fourth Proportional to 3,443.96, 5,165.85 and 1,252.73

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Solution

The fourth proportional to 3,443.96, 5,165.85 and 1,252.73 is: 1,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.96 : 5,165.85 = 1,252.73 : x
  2. Step 2: Convert to fraction form
    3,443.96/5,165.85 = 1,252.73/x
  3. Step 3: Cross multiply
    3,443.96x = 5,165.85 × 1,252.73
  4. Step 4: Simplify right side
    3,443.96x = 6,471,415.27
  5. Step 5: Solve for x
    x = 6,471,415.27/3,443.96
  6. Step 6: Final answer
    x = 1,879.06

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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.