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Finding the Fourth Proportional to 5,274.84, 7,912.20 and 2,967.96

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Solution

The fourth proportional to 5,274.84, 7,912.20 and 2,967.96 is: 4,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.84 : 7,912.20 = 2,967.96 : x
  2. Step 2: Convert to fraction form
    5,274.84/7,912.20 = 2,967.96/x
  3. Step 3: Cross multiply
    5,274.84x = 7,912.20 × 2,967.96
  4. Step 4: Simplify right side
    5,274.84x = 23,483,093.11
  5. Step 5: Solve for x
    x = 23,483,093.11/5,274.84
  6. Step 6: Final answer
    x = 4,451.91

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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.