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Finding the Fourth Proportional to 5,984.84, 8,969.38 and 2,651.94

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Solution

The fourth proportional to 5,984.84, 8,969.38 and 2,651.94 is: 3,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.84 : 8,969.38 = 2,651.94 : x
  2. Step 2: Convert to fraction form
    5,984.84/8,969.38 = 2,651.94/x
  3. Step 3: Cross multiply
    5,984.84x = 8,969.38 × 2,651.94
  4. Step 4: Simplify right side
    5,984.84x = 23,786,250.97
  5. Step 5: Solve for x
    x = 23,786,250.97/5,984.84
  6. Step 6: Final answer
    x = 3,974.42

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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.