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Finding the Fourth Proportional to 6,217.85, 8,581.41 and 3,565.22

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Solution

The fourth proportional to 6,217.85, 8,581.41 and 3,565.22 is: 4,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.85 : 8,581.41 = 3,565.22 : x
  2. Step 2: Convert to fraction form
    6,217.85/8,581.41 = 3,565.22/x
  3. Step 3: Cross multiply
    6,217.85x = 8,581.41 × 3,565.22
  4. Step 4: Simplify right side
    6,217.85x = 30,594,571.65
  5. Step 5: Solve for x
    x = 30,594,571.65/6,217.85
  6. Step 6: Final answer
    x = 4,920.44

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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.