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Finding the Fourth Proportional to 5,906.32, 8,144.47 and 5,311.18

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Solution

The fourth proportional to 5,906.32, 8,144.47 and 5,311.18 is: 7,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.32 : 8,144.47 = 5,311.18 : x
  2. Step 2: Convert to fraction form
    5,906.32/8,144.47 = 5,311.18/x
  3. Step 3: Cross multiply
    5,906.32x = 8,144.47 × 5,311.18
  4. Step 4: Simplify right side
    5,906.32x = 43,256,687.31
  5. Step 5: Solve for x
    x = 43,256,687.31/5,906.32
  6. Step 6: Final answer
    x = 7,323.79

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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.