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Finding the Fourth Proportional to 3,394.75, 4,685.10 and 1,902.94

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Solution

The fourth proportional to 3,394.75, 4,685.10 and 1,902.94 is: 2,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.75 : 4,685.10 = 1,902.94 : x
  2. Step 2: Convert to fraction form
    3,394.75/4,685.10 = 1,902.94/x
  3. Step 3: Cross multiply
    3,394.75x = 4,685.10 × 1,902.94
  4. Step 4: Simplify right side
    3,394.75x = 8,915,464.19
  5. Step 5: Solve for x
    x = 8,915,464.19/3,394.75
  6. Step 6: Final answer
    x = 2,626.25

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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.