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Finding the Fourth Proportional to 3,394.37, 4,684.43 and 1,902.22

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Solution

The fourth proportional to 3,394.37, 4,684.43 and 1,902.22 is: 2,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.37 : 4,684.43 = 1,902.22 : x
  2. Step 2: Convert to fraction form
    3,394.37/4,684.43 = 1,902.22/x
  3. Step 3: Cross multiply
    3,394.37x = 4,684.43 × 1,902.22
  4. Step 4: Simplify right side
    3,394.37x = 8,910,809.48
  5. Step 5: Solve for x
    x = 8,910,809.48/3,394.37
  6. Step 6: Final answer
    x = 2,625.17

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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.