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Finding the Fourth Proportional to 4,447.62, 6,138.87 and 2,678.97

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Solution

The fourth proportional to 4,447.62, 6,138.87 and 2,678.97 is: 3,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.62 : 6,138.87 = 2,678.97 : x
  2. Step 2: Convert to fraction form
    4,447.62/6,138.87 = 2,678.97/x
  3. Step 3: Cross multiply
    4,447.62x = 6,138.87 × 2,678.97
  4. Step 4: Simplify right side
    4,447.62x = 16,445,848.56
  5. Step 5: Solve for x
    x = 16,445,848.56/4,447.62
  6. Step 6: Final answer
    x = 3,697.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.