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Finding the Fourth Proportional to 5,468.36, 8,201.94 and 1,958.24

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Solution

The fourth proportional to 5,468.36, 8,201.94 and 1,958.24 is: 2,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.36 : 8,201.94 = 1,958.24 : x
  2. Step 2: Convert to fraction form
    5,468.36/8,201.94 = 1,958.24/x
  3. Step 3: Cross multiply
    5,468.36x = 8,201.94 × 1,958.24
  4. Step 4: Simplify right side
    5,468.36x = 16,061,366.99
  5. Step 5: Solve for x
    x = 16,061,366.99/5,468.36
  6. Step 6: Final answer
    x = 2,937.15

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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.