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Finding the Fourth Proportional to 5,738.70, 8,613.44 and 2,819.10

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Solution

The fourth proportional to 5,738.70, 8,613.44 and 2,819.10 is: 4,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.70 : 8,613.44 = 2,819.10 : x
  2. Step 2: Convert to fraction form
    5,738.70/8,613.44 = 2,819.10/x
  3. Step 3: Cross multiply
    5,738.70x = 8,613.44 × 2,819.10
  4. Step 4: Simplify right side
    5,738.70x = 24,282,148.70
  5. Step 5: Solve for x
    x = 24,282,148.70/5,738.70
  6. Step 6: Final answer
    x = 4,231.30

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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.