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Finding the Fourth Proportional to 3,879.65, 5,353.69 and 2,178.03

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Solution

The fourth proportional to 3,879.65, 5,353.69 and 2,178.03 is: 3,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.65 : 5,353.69 = 2,178.03 : x
  2. Step 2: Convert to fraction form
    3,879.65/5,353.69 = 2,178.03/x
  3. Step 3: Cross multiply
    3,879.65x = 5,353.69 × 2,178.03
  4. Step 4: Simplify right side
    3,879.65x = 11,660,516.15
  5. Step 5: Solve for x
    x = 11,660,516.15/3,879.65
  6. Step 6: Final answer
    x = 3,005.56

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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.