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Finding the Fourth Proportional to 3,470.49, 5,205.39 and 1,909.98

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Solution

The fourth proportional to 3,470.49, 5,205.39 and 1,909.98 is: 2,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.49 : 5,205.39 = 1,909.98 : x
  2. Step 2: Convert to fraction form
    3,470.49/5,205.39 = 1,909.98/x
  3. Step 3: Cross multiply
    3,470.49x = 5,205.39 × 1,909.98
  4. Step 4: Simplify right side
    3,470.49x = 9,942,190.79
  5. Step 5: Solve for x
    x = 9,942,190.79/3,470.49
  6. Step 6: Final answer
    x = 2,864.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.