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Finding the Fourth Proportional to 3,819.14, 5,729.06 and 1,186.67

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Solution

The fourth proportional to 3,819.14, 5,729.06 and 1,186.67 is: 1,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.14 : 5,729.06 = 1,186.67 : x
  2. Step 2: Convert to fraction form
    3,819.14/5,729.06 = 1,186.67/x
  3. Step 3: Cross multiply
    3,819.14x = 5,729.06 × 1,186.67
  4. Step 4: Simplify right side
    3,819.14x = 6,798,520.92
  5. Step 5: Solve for x
    x = 6,798,520.92/3,819.14
  6. Step 6: Final answer
    x = 1,780.12

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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.