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Finding the Fourth Proportional to 4,967.46, 7,448.85 and 1,679.67

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Solution

The fourth proportional to 4,967.46, 7,448.85 and 1,679.67 is: 2,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.46 : 7,448.85 = 1,679.67 : x
  2. Step 2: Convert to fraction form
    4,967.46/7,448.85 = 1,679.67/x
  3. Step 3: Cross multiply
    4,967.46x = 7,448.85 × 1,679.67
  4. Step 4: Simplify right side
    4,967.46x = 12,511,609.88
  5. Step 5: Solve for x
    x = 12,511,609.88/4,967.46
  6. Step 6: Final answer
    x = 2,518.71

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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.