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Finding the Fourth Proportional to 5,163.40, 7,742.73 and 2,824.21

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Solution

The fourth proportional to 5,163.40, 7,742.73 and 2,824.21 is: 4,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.40 : 7,742.73 = 2,824.21 : x
  2. Step 2: Convert to fraction form
    5,163.40/7,742.73 = 2,824.21/x
  3. Step 3: Cross multiply
    5,163.40x = 7,742.73 × 2,824.21
  4. Step 4: Simplify right side
    5,163.40x = 21,867,056.78
  5. Step 5: Solve for x
    x = 21,867,056.78/5,163.40
  6. Step 6: Final answer
    x = 4,235.02

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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.