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Finding the Fourth Proportional to 5,369.46, 7,410.27 and 3,131.43

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Solution

The fourth proportional to 5,369.46, 7,410.27 and 3,131.43 is: 4,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.46 : 7,410.27 = 3,131.43 : x
  2. Step 2: Convert to fraction form
    5,369.46/7,410.27 = 3,131.43/x
  3. Step 3: Cross multiply
    5,369.46x = 7,410.27 × 3,131.43
  4. Step 4: Simplify right side
    5,369.46x = 23,204,741.79
  5. Step 5: Solve for x
    x = 23,204,741.79/5,369.46
  6. Step 6: Final answer
    x = 4,321.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.