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Finding the Fourth Proportional to 5,961.84, 8,222.70 and 3,968.94

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Solution

The fourth proportional to 5,961.84, 8,222.70 and 3,968.94 is: 5,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.84 : 8,222.70 = 3,968.94 : x
  2. Step 2: Convert to fraction form
    5,961.84/8,222.70 = 3,968.94/x
  3. Step 3: Cross multiply
    5,961.84x = 8,222.70 × 3,968.94
  4. Step 4: Simplify right side
    5,961.84x = 32,635,402.94
  5. Step 5: Solve for x
    x = 32,635,402.94/5,961.84
  6. Step 6: Final answer
    x = 5,474.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.