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Finding the Fourth Proportional to 3,814.48, 5,719.24 and 2,512

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Solution

The fourth proportional to 3,814.48, 5,719.24 and 2,512 is: 3,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.48 : 5,719.24 = 2,512 : x
  2. Step 2: Convert to fraction form
    3,814.48/5,719.24 = 2,512/x
  3. Step 3: Cross multiply
    3,814.48x = 5,719.24 × 2,512
  4. Step 4: Simplify right side
    3,814.48x = 14,366,730.88
  5. Step 5: Solve for x
    x = 14,366,730.88/3,814.48
  6. Step 6: Final answer
    x = 3,766.37

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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.