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Finding the Fourth Proportional to 5,665.37, 7,819.32 and 3,619.96

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Solution

The fourth proportional to 5,665.37, 7,819.32 and 3,619.96 is: 4,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.37 : 7,819.32 = 3,619.96 : x
  2. Step 2: Convert to fraction form
    5,665.37/7,819.32 = 3,619.96/x
  3. Step 3: Cross multiply
    5,665.37x = 7,819.32 × 3,619.96
  4. Step 4: Simplify right side
    5,665.37x = 28,305,586.53
  5. Step 5: Solve for x
    x = 28,305,586.53/5,665.37
  6. Step 6: Final answer
    x = 4,996.25

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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.