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Finding the Fourth Proportional to 3,436.97, 4,739.89 and 2,906.97

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Solution

The fourth proportional to 3,436.97, 4,739.89 and 2,906.97 is: 4,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.97 : 4,739.89 = 2,906.97 : x
  2. Step 2: Convert to fraction form
    3,436.97/4,739.89 = 2,906.97/x
  3. Step 3: Cross multiply
    3,436.97x = 4,739.89 × 2,906.97
  4. Step 4: Simplify right side
    3,436.97x = 13,778,706.18
  5. Step 5: Solve for x
    x = 13,778,706.18/3,436.97
  6. Step 6: Final answer
    x = 4,008.97

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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.