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Finding the Fourth Proportional to 3,889.41, 5,367.51 and 2,188.20

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Solution

The fourth proportional to 3,889.41, 5,367.51 and 2,188.20 is: 3,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.41 : 5,367.51 = 2,188.20 : x
  2. Step 2: Convert to fraction form
    3,889.41/5,367.51 = 2,188.20/x
  3. Step 3: Cross multiply
    3,889.41x = 5,367.51 × 2,188.20
  4. Step 4: Simplify right side
    3,889.41x = 11,745,185.38
  5. Step 5: Solve for x
    x = 11,745,185.38/3,889.41
  6. Step 6: Final answer
    x = 3,019.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.