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Finding the Fourth Proportional to 3,223.44, 4,847.04 and 3,106.80

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Solution

The fourth proportional to 3,223.44, 4,847.04 and 3,106.80 is: 4,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.44 : 4,847.04 = 3,106.80 : x
  2. Step 2: Convert to fraction form
    3,223.44/4,847.04 = 3,106.80/x
  3. Step 3: Cross multiply
    3,223.44x = 4,847.04 × 3,106.80
  4. Step 4: Simplify right side
    3,223.44x = 15,058,783.87
  5. Step 5: Solve for x
    x = 15,058,783.87/3,223.44
  6. Step 6: Final answer
    x = 4,671.65

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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.