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Finding the Fourth Proportional to 3,189.52, 4,401.54 and 1,863.19

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Solution

The fourth proportional to 3,189.52, 4,401.54 and 1,863.19 is: 2,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.52 : 4,401.54 = 1,863.19 : x
  2. Step 2: Convert to fraction form
    3,189.52/4,401.54 = 1,863.19/x
  3. Step 3: Cross multiply
    3,189.52x = 4,401.54 × 1,863.19
  4. Step 4: Simplify right side
    3,189.52x = 8,200,910.81
  5. Step 5: Solve for x
    x = 8,200,910.81/3,189.52
  6. Step 6: Final answer
    x = 2,571.20

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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.