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Finding the Fourth Proportional to 6,434.12, 8,879.22 and 3,639.56

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Solution

The fourth proportional to 6,434.12, 8,879.22 and 3,639.56 is: 5,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.12 : 8,879.22 = 3,639.56 : x
  2. Step 2: Convert to fraction form
    6,434.12/8,879.22 = 3,639.56/x
  3. Step 3: Cross multiply
    6,434.12x = 8,879.22 × 3,639.56
  4. Step 4: Simplify right side
    6,434.12x = 32,316,453.94
  5. Step 5: Solve for x
    x = 32,316,453.94/6,434.12
  6. Step 6: Final answer
    x = 5,022.67

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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.