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Finding the Fourth Proportional to 5,972.50, 8,958.75 and 2,324.50

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Solution

The fourth proportional to 5,972.50, 8,958.75 and 2,324.50 is: 3,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.50 : 8,958.75 = 2,324.50 : x
  2. Step 2: Convert to fraction form
    5,972.50/8,958.75 = 2,324.50/x
  3. Step 3: Cross multiply
    5,972.50x = 8,958.75 × 2,324.50
  4. Step 4: Simplify right side
    5,972.50x = 20,824,614.38
  5. Step 5: Solve for x
    x = 20,824,614.38/5,972.50
  6. Step 6: Final answer
    x = 3,486.75

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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.