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Finding the Fourth Proportional to 5,185.42, 7,773.46 and 1,896.21

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Solution

The fourth proportional to 5,185.42, 7,773.46 and 1,896.21 is: 2,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.42 : 7,773.46 = 1,896.21 : x
  2. Step 2: Convert to fraction form
    5,185.42/7,773.46 = 1,896.21/x
  3. Step 3: Cross multiply
    5,185.42x = 7,773.46 × 1,896.21
  4. Step 4: Simplify right side
    5,185.42x = 14,740,107.85
  5. Step 5: Solve for x
    x = 14,740,107.85/5,185.42
  6. Step 6: Final answer
    x = 2,842.61

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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.