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Finding the Fourth Proportional to 5,814.82, 8,719.50 and 2,114.44

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Solution

The fourth proportional to 5,814.82, 8,719.50 and 2,114.44 is: 3,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.82 : 8,719.50 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    5,814.82/8,719.50 = 2,114.44/x
  3. Step 3: Cross multiply
    5,814.82x = 8,719.50 × 2,114.44
  4. Step 4: Simplify right side
    5,814.82x = 18,436,859.58
  5. Step 5: Solve for x
    x = 18,436,859.58/5,814.82
  6. Step 6: Final answer
    x = 3,170.67

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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.