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Finding the Fourth Proportional to 3,814.37, 5,718.32 and 3,608.09

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Solution

The fourth proportional to 3,814.37, 5,718.32 and 3,608.09 is: 5,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.37 : 5,718.32 = 3,608.09 : x
  2. Step 2: Convert to fraction form
    3,814.37/5,718.32 = 3,608.09/x
  3. Step 3: Cross multiply
    3,814.37x = 5,718.32 × 3,608.09
  4. Step 4: Simplify right side
    3,814.37x = 20,632,195.17
  5. Step 5: Solve for x
    x = 20,632,195.17/3,814.37
  6. Step 6: Final answer
    x = 5,409.07

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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.