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Finding the Fourth Proportional to 4,861.69, 6,709.94 and 3,680.71

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Solution

The fourth proportional to 4,861.69, 6,709.94 and 3,680.71 is: 5,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.69 : 6,709.94 = 3,680.71 : x
  2. Step 2: Convert to fraction form
    4,861.69/6,709.94 = 3,680.71/x
  3. Step 3: Cross multiply
    4,861.69x = 6,709.94 × 3,680.71
  4. Step 4: Simplify right side
    4,861.69x = 24,697,321.88
  5. Step 5: Solve for x
    x = 24,697,321.88/4,861.69
  6. Step 6: Final answer
    x = 5,079.99

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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.