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Finding the Fourth Proportional to 4,212.64, 5,811.24 and 3,216.20

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Solution

The fourth proportional to 4,212.64, 5,811.24 and 3,216.20 is: 4,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.64 : 5,811.24 = 3,216.20 : x
  2. Step 2: Convert to fraction form
    4,212.64/5,811.24 = 3,216.20/x
  3. Step 3: Cross multiply
    4,212.64x = 5,811.24 × 3,216.20
  4. Step 4: Simplify right side
    4,212.64x = 18,690,110.09
  5. Step 5: Solve for x
    x = 18,690,110.09/4,212.64
  6. Step 6: Final answer
    x = 4,436.67

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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.