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Finding the Fourth Proportional to 3,873.75, 5,340.78 and 3,164.85

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Solution

The fourth proportional to 3,873.75, 5,340.78 and 3,164.85 is: 4,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.75 : 5,340.78 = 3,164.85 : x
  2. Step 2: Convert to fraction form
    3,873.75/5,340.78 = 3,164.85/x
  3. Step 3: Cross multiply
    3,873.75x = 5,340.78 × 3,164.85
  4. Step 4: Simplify right side
    3,873.75x = 16,902,767.58
  5. Step 5: Solve for x
    x = 16,902,767.58/3,873.75
  6. Step 6: Final answer
    x = 4,363.41

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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.