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Finding the Fourth Proportional to 5,938.96, 8,195.42 and 3,286.32

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Solution

The fourth proportional to 5,938.96, 8,195.42 and 3,286.32 is: 4,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.96 : 8,195.42 = 3,286.32 : x
  2. Step 2: Convert to fraction form
    5,938.96/8,195.42 = 3,286.32/x
  3. Step 3: Cross multiply
    5,938.96x = 8,195.42 × 3,286.32
  4. Step 4: Simplify right side
    5,938.96x = 26,932,772.65
  5. Step 5: Solve for x
    x = 26,932,772.65/5,938.96
  6. Step 6: Final answer
    x = 4,534.93

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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.