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Finding the Fourth Proportional to 3,881.24, 5,818.60 and 3,149

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Solution

The fourth proportional to 3,881.24, 5,818.60 and 3,149 is: 4,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.24 : 5,818.60 = 3,149 : x
  2. Step 2: Convert to fraction form
    3,881.24/5,818.60 = 3,149/x
  3. Step 3: Cross multiply
    3,881.24x = 5,818.60 × 3,149
  4. Step 4: Simplify right side
    3,881.24x = 18,322,771.40
  5. Step 5: Solve for x
    x = 18,322,771.40/3,881.24
  6. Step 6: Final answer
    x = 4,720.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.