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Finding the Fourth Proportional to 4,299.65, 6,464.06 and 3,433.22

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Solution

The fourth proportional to 4,299.65, 6,464.06 and 3,433.22 is: 5,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.65 : 6,464.06 = 3,433.22 : x
  2. Step 2: Convert to fraction form
    4,299.65/6,464.06 = 3,433.22/x
  3. Step 3: Cross multiply
    4,299.65x = 6,464.06 × 3,433.22
  4. Step 4: Simplify right side
    4,299.65x = 22,192,540.07
  5. Step 5: Solve for x
    x = 22,192,540.07/4,299.65
  6. Step 6: Final answer
    x = 5,161.48

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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.