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Finding the Fourth Proportional to 4,861.68, 6,709.08 and 2,765.76

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Solution

The fourth proportional to 4,861.68, 6,709.08 and 2,765.76 is: 3,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.68 : 6,709.08 = 2,765.76 : x
  2. Step 2: Convert to fraction form
    4,861.68/6,709.08 = 2,765.76/x
  3. Step 3: Cross multiply
    4,861.68x = 6,709.08 × 2,765.76
  4. Step 4: Simplify right side
    4,861.68x = 18,555,705.10
  5. Step 5: Solve for x
    x = 18,555,705.10/4,861.68
  6. Step 6: Final answer
    x = 3,816.73

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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.