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Finding the Fourth Proportional to 3,394.23, 4,684 and 1,902.21

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Solution

The fourth proportional to 3,394.23, 4,684 and 1,902.21 is: 2,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.23 : 4,684 = 1,902.21 : x
  2. Step 2: Convert to fraction form
    3,394.23/4,684 = 1,902.21/x
  3. Step 3: Cross multiply
    3,394.23x = 4,684 × 1,902.21
  4. Step 4: Simplify right side
    3,394.23x = 8,909,951.64
  5. Step 5: Solve for x
    x = 8,909,951.64/3,394.23
  6. Step 6: Final answer
    x = 2,625.03

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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.