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Finding the Fourth Proportional to 3,438.36, 5,163.18 and 3,263.07

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Solution

The fourth proportional to 3,438.36, 5,163.18 and 3,263.07 is: 4,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.36 : 5,163.18 = 3,263.07 : x
  2. Step 2: Convert to fraction form
    3,438.36/5,163.18 = 3,263.07/x
  3. Step 3: Cross multiply
    3,438.36x = 5,163.18 × 3,263.07
  4. Step 4: Simplify right side
    3,438.36x = 16,847,817.76
  5. Step 5: Solve for x
    x = 16,847,817.76/3,438.36
  6. Step 6: Final answer
    x = 4,899.96

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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.