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Finding the Fourth Proportional to 6,540.04, 9,026.46 and 3,889

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Solution

The fourth proportional to 6,540.04, 9,026.46 and 3,889 is: 5,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.04 : 9,026.46 = 3,889 : x
  2. Step 2: Convert to fraction form
    6,540.04/9,026.46 = 3,889/x
  3. Step 3: Cross multiply
    6,540.04x = 9,026.46 × 3,889
  4. Step 4: Simplify right side
    6,540.04x = 35,103,902.94
  5. Step 5: Solve for x
    x = 35,103,902.94/6,540.04
  6. Step 6: Final answer
    x = 5,367.54

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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.