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Finding the Fourth Proportional to 3,923, 5,414.04 and 2,330.12

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Solution

The fourth proportional to 3,923, 5,414.04 and 2,330.12 is: 3,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923 : 5,414.04 = 2,330.12 : x
  2. Step 2: Convert to fraction form
    3,923/5,414.04 = 2,330.12/x
  3. Step 3: Cross multiply
    3,923x = 5,414.04 × 2,330.12
  4. Step 4: Simplify right side
    3,923x = 12,615,362.88
  5. Step 5: Solve for x
    x = 12,615,362.88/3,923
  6. Step 6: Final answer
    x = 3,215.74

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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.