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Finding the Fourth Proportional to 3,819.34, 5,719.29 and 2,516.86

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Solution

The fourth proportional to 3,819.34, 5,719.29 and 2,516.86 is: 3,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.34 : 5,719.29 = 2,516.86 : x
  2. Step 2: Convert to fraction form
    3,819.34/5,719.29 = 2,516.86/x
  3. Step 3: Cross multiply
    3,819.34x = 5,719.29 × 2,516.86
  4. Step 4: Simplify right side
    3,819.34x = 14,394,652.23
  5. Step 5: Solve for x
    x = 14,394,652.23/3,819.34
  6. Step 6: Final answer
    x = 3,768.88

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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.