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Finding the Fourth Proportional to 5,495.68, 8,236.80 and 2,896.96

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Solution

The fourth proportional to 5,495.68, 8,236.80 and 2,896.96 is: 4,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.68 : 8,236.80 = 2,896.96 : x
  2. Step 2: Convert to fraction form
    5,495.68/8,236.80 = 2,896.96/x
  3. Step 3: Cross multiply
    5,495.68x = 8,236.80 × 2,896.96
  4. Step 4: Simplify right side
    5,495.68x = 23,861,680.13
  5. Step 5: Solve for x
    x = 23,861,680.13/5,495.68
  6. Step 6: Final answer
    x = 4,341.90

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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.