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Finding the Fourth Proportional to 3,769.89, 5,190.32 and 3,237.72

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Solution

The fourth proportional to 3,769.89, 5,190.32 and 3,237.72 is: 4,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.89 : 5,190.32 = 3,237.72 : x
  2. Step 2: Convert to fraction form
    3,769.89/5,190.32 = 3,237.72/x
  3. Step 3: Cross multiply
    3,769.89x = 5,190.32 × 3,237.72
  4. Step 4: Simplify right side
    3,769.89x = 16,804,786.68
  5. Step 5: Solve for x
    x = 16,804,786.68/3,769.89
  6. Step 6: Final answer
    x = 4,457.63

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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.