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Finding the Fourth Proportional to 4,168.35, 5,778.63 and 3,946.41

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Solution

The fourth proportional to 4,168.35, 5,778.63 and 3,946.41 is: 5,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.35 : 5,778.63 = 3,946.41 : x
  2. Step 2: Convert to fraction form
    4,168.35/5,778.63 = 3,946.41/x
  3. Step 3: Cross multiply
    4,168.35x = 5,778.63 × 3,946.41
  4. Step 4: Simplify right side
    4,168.35x = 22,804,843.22
  5. Step 5: Solve for x
    x = 22,804,843.22/4,168.35
  6. Step 6: Final answer
    x = 5,470.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.