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Finding the Fourth Proportional to 3,591.36, 5,389.83 and 1,643.67

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Solution

The fourth proportional to 3,591.36, 5,389.83 and 1,643.67 is: 2,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.36 : 5,389.83 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    3,591.36/5,389.83 = 1,643.67/x
  3. Step 3: Cross multiply
    3,591.36x = 5,389.83 × 1,643.67
  4. Step 4: Simplify right side
    3,591.36x = 8,859,101.88
  5. Step 5: Solve for x
    x = 8,859,101.88/3,591.36
  6. Step 6: Final answer
    x = 2,466.78

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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.