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Finding the Fourth Proportional to 5,458.96, 8,186.41 and 3,713.46

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Solution

The fourth proportional to 5,458.96, 8,186.41 and 3,713.46 is: 5,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.96 : 8,186.41 = 3,713.46 : x
  2. Step 2: Convert to fraction form
    5,458.96/8,186.41 = 3,713.46/x
  3. Step 3: Cross multiply
    5,458.96x = 8,186.41 × 3,713.46
  4. Step 4: Simplify right side
    5,458.96x = 30,399,906.08
  5. Step 5: Solve for x
    x = 30,399,906.08/5,458.96
  6. Step 6: Final answer
    x = 5,568.81

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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.