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Finding the Fourth Proportional to 3,840.43, 5,760.62 and 2,195.81

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Solution

The fourth proportional to 3,840.43, 5,760.62 and 2,195.81 is: 3,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.43 : 5,760.62 = 2,195.81 : x
  2. Step 2: Convert to fraction form
    3,840.43/5,760.62 = 2,195.81/x
  3. Step 3: Cross multiply
    3,840.43x = 5,760.62 × 2,195.81
  4. Step 4: Simplify right side
    3,840.43x = 12,649,217.06
  5. Step 5: Solve for x
    x = 12,649,217.06/3,840.43
  6. Step 6: Final answer
    x = 3,293.70

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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.