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Finding the Fourth Proportional to 5,161.96, 7,735.38 and 3,208.24

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Solution

The fourth proportional to 5,161.96, 7,735.38 and 3,208.24 is: 4,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.96 : 7,735.38 = 3,208.24 : x
  2. Step 2: Convert to fraction form
    5,161.96/7,735.38 = 3,208.24/x
  3. Step 3: Cross multiply
    5,161.96x = 7,735.38 × 3,208.24
  4. Step 4: Simplify right side
    5,161.96x = 24,816,955.53
  5. Step 5: Solve for x
    x = 24,816,955.53/5,161.96
  6. Step 6: Final answer
    x = 4,807.66

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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.