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Finding the Fourth Proportional to 3,814.74, 5,716.17 and 1,838.23

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Solution

The fourth proportional to 3,814.74, 5,716.17 and 1,838.23 is: 2,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.74 : 5,716.17 = 1,838.23 : x
  2. Step 2: Convert to fraction form
    3,814.74/5,716.17 = 1,838.23/x
  3. Step 3: Cross multiply
    3,814.74x = 5,716.17 × 1,838.23
  4. Step 4: Simplify right side
    3,814.74x = 10,507,635.18
  5. Step 5: Solve for x
    x = 10,507,635.18/3,814.74
  6. Step 6: Final answer
    x = 2,754.48

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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.