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Finding the Fourth Proportional to 4,463.32, 6,684.42 and 2,266.60

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Solution

The fourth proportional to 4,463.32, 6,684.42 and 2,266.60 is: 3,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.32 : 6,684.42 = 2,266.60 : x
  2. Step 2: Convert to fraction form
    4,463.32/6,684.42 = 2,266.60/x
  3. Step 3: Cross multiply
    4,463.32x = 6,684.42 × 2,266.60
  4. Step 4: Simplify right side
    4,463.32x = 15,150,906.37
  5. Step 5: Solve for x
    x = 15,150,906.37/4,463.32
  6. Step 6: Final answer
    x = 3,394.54

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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.