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Finding the Fourth Proportional to 3,399.94, 5,097.70 and 1,838.96

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Solution

The fourth proportional to 3,399.94, 5,097.70 and 1,838.96 is: 2,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.94 : 5,097.70 = 1,838.96 : x
  2. Step 2: Convert to fraction form
    3,399.94/5,097.70 = 1,838.96/x
  3. Step 3: Cross multiply
    3,399.94x = 5,097.70 × 1,838.96
  4. Step 4: Simplify right side
    3,399.94x = 9,374,466.39
  5. Step 5: Solve for x
    x = 9,374,466.39/3,399.94
  6. Step 6: Final answer
    x = 2,757.24

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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.