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Finding the Fourth Proportional to 3,971.78, 5,507.25 and 3,840.06

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Solution

The fourth proportional to 3,971.78, 5,507.25 and 3,840.06 is: 5,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.78 : 5,507.25 = 3,840.06 : x
  2. Step 2: Convert to fraction form
    3,971.78/5,507.25 = 3,840.06/x
  3. Step 3: Cross multiply
    3,971.78x = 5,507.25 × 3,840.06
  4. Step 4: Simplify right side
    3,971.78x = 21,148,170.44
  5. Step 5: Solve for x
    x = 21,148,170.44/3,971.78
  6. Step 6: Final answer
    x = 5,324.61

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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.