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Finding the Fourth Proportional to 4,861.68, 6,708.96 and 2,766.24

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Solution

The fourth proportional to 4,861.68, 6,708.96 and 2,766.24 is: 3,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.68 : 6,708.96 = 2,766.24 : x
  2. Step 2: Convert to fraction form
    4,861.68/6,708.96 = 2,766.24/x
  3. Step 3: Cross multiply
    4,861.68x = 6,708.96 × 2,766.24
  4. Step 4: Simplify right side
    4,861.68x = 18,558,593.51
  5. Step 5: Solve for x
    x = 18,558,593.51/4,861.68
  6. Step 6: Final answer
    x = 3,817.32

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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.