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Finding the Fourth Proportional to 5,972.25, 8,958.38 and 2,324.25

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Solution

The fourth proportional to 5,972.25, 8,958.38 and 2,324.25 is: 3,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.25 : 8,958.38 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    5,972.25/8,958.38 = 2,324.25/x
  3. Step 3: Cross multiply
    5,972.25x = 8,958.38 × 2,324.25
  4. Step 4: Simplify right side
    5,972.25x = 20,821,503.09
  5. Step 5: Solve for x
    x = 20,821,503.09/5,972.25
  6. Step 6: Final answer
    x = 3,486.38

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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.