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Finding the Fourth Proportional to 3,563.85, 4,919.49 and 3,190.17

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Solution

The fourth proportional to 3,563.85, 4,919.49 and 3,190.17 is: 4,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.85 : 4,919.49 = 3,190.17 : x
  2. Step 2: Convert to fraction form
    3,563.85/4,919.49 = 3,190.17/x
  3. Step 3: Cross multiply
    3,563.85x = 4,919.49 × 3,190.17
  4. Step 4: Simplify right side
    3,563.85x = 15,694,027.86
  5. Step 5: Solve for x
    x = 15,694,027.86/3,563.85
  6. Step 6: Final answer
    x = 4,403.67

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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.