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Finding the Fourth Proportional to 3,848.81, 5,311.22 and 2,433.26

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Solution

The fourth proportional to 3,848.81, 5,311.22 and 2,433.26 is: 3,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.81 : 5,311.22 = 2,433.26 : x
  2. Step 2: Convert to fraction form
    3,848.81/5,311.22 = 2,433.26/x
  3. Step 3: Cross multiply
    3,848.81x = 5,311.22 × 2,433.26
  4. Step 4: Simplify right side
    3,848.81x = 12,923,540.45
  5. Step 5: Solve for x
    x = 12,923,540.45/3,848.81
  6. Step 6: Final answer
    x = 3,357.81

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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.