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Finding the Fourth Proportional to 3,189.99, 4,401.86 and 1,863.53

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Solution

The fourth proportional to 3,189.99, 4,401.86 and 1,863.53 is: 2,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.99 : 4,401.86 = 1,863.53 : x
  2. Step 2: Convert to fraction form
    3,189.99/4,401.86 = 1,863.53/x
  3. Step 3: Cross multiply
    3,189.99x = 4,401.86 × 1,863.53
  4. Step 4: Simplify right side
    3,189.99x = 8,202,998.17
  5. Step 5: Solve for x
    x = 8,202,998.17/3,189.99
  6. Step 6: Final answer
    x = 2,571.48

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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.