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Finding the Fourth Proportional to 5,495.58, 8,241.63 and 1,796.96

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Solution

The fourth proportional to 5,495.58, 8,241.63 and 1,796.96 is: 2,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.58 : 8,241.63 = 1,796.96 : x
  2. Step 2: Convert to fraction form
    5,495.58/8,241.63 = 1,796.96/x
  3. Step 3: Cross multiply
    5,495.58x = 8,241.63 × 1,796.96
  4. Step 4: Simplify right side
    5,495.58x = 14,809,838.24
  5. Step 5: Solve for x
    x = 14,809,838.24/5,495.58
  6. Step 6: Final answer
    x = 2,694.86

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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.