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Finding the Fourth Proportional to 5,141.14, 7,713.60 and 2,674.42

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Solution

The fourth proportional to 5,141.14, 7,713.60 and 2,674.42 is: 4,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.14 : 7,713.60 = 2,674.42 : x
  2. Step 2: Convert to fraction form
    5,141.14/7,713.60 = 2,674.42/x
  3. Step 3: Cross multiply
    5,141.14x = 7,713.60 × 2,674.42
  4. Step 4: Simplify right side
    5,141.14x = 20,629,406.11
  5. Step 5: Solve for x
    x = 20,629,406.11/5,141.14
  6. Step 6: Final answer
    x = 4,012.61

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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.