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Finding the Fourth Proportional to 5,441.37, 8,163.63 and 1,743.51

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Solution

The fourth proportional to 5,441.37, 8,163.63 and 1,743.51 is: 2,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.37 : 8,163.63 = 1,743.51 : x
  2. Step 2: Convert to fraction form
    5,441.37/8,163.63 = 1,743.51/x
  3. Step 3: Cross multiply
    5,441.37x = 8,163.63 × 1,743.51
  4. Step 4: Simplify right side
    5,441.37x = 14,233,370.54
  5. Step 5: Solve for x
    x = 14,233,370.54/5,441.37
  6. Step 6: Final answer
    x = 2,615.77

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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.