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Finding the Fourth Proportional to 5,219.37, 7,809.43 and 3,662.41

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Solution

The fourth proportional to 5,219.37, 7,809.43 and 3,662.41 is: 5,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.37 : 7,809.43 = 3,662.41 : x
  2. Step 2: Convert to fraction form
    5,219.37/7,809.43 = 3,662.41/x
  3. Step 3: Cross multiply
    5,219.37x = 7,809.43 × 3,662.41
  4. Step 4: Simplify right side
    5,219.37x = 28,601,327.36
  5. Step 5: Solve for x
    x = 28,601,327.36/5,219.37
  6. Step 6: Final answer
    x = 5,479.84

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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.