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Finding the Fourth Proportional to 5,396.52, 8,096.08 and 2,274.80

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Solution

The fourth proportional to 5,396.52, 8,096.08 and 2,274.80 is: 3,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.52 : 8,096.08 = 2,274.80 : x
  2. Step 2: Convert to fraction form
    5,396.52/8,096.08 = 2,274.80/x
  3. Step 3: Cross multiply
    5,396.52x = 8,096.08 × 2,274.80
  4. Step 4: Simplify right side
    5,396.52x = 18,416,962.78
  5. Step 5: Solve for x
    x = 18,416,962.78/5,396.52
  6. Step 6: Final answer
    x = 3,412.75

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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.