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Finding the Fourth Proportional to 3,398.40, 4,694.34 and 2,737.80

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Solution

The fourth proportional to 3,398.40, 4,694.34 and 2,737.80 is: 3,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.40 : 4,694.34 = 2,737.80 : x
  2. Step 2: Convert to fraction form
    3,398.40/4,694.34 = 2,737.80/x
  3. Step 3: Cross multiply
    3,398.40x = 4,694.34 × 2,737.80
  4. Step 4: Simplify right side
    3,398.40x = 12,852,164.05
  5. Step 5: Solve for x
    x = 12,852,164.05/3,398.40
  6. Step 6: Final answer
    x = 3,781.83

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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.