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Finding the Fourth Proportional to 6,224.15, 8,589.28 and 3,429.65

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Solution

The fourth proportional to 6,224.15, 8,589.28 and 3,429.65 is: 4,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.15 : 8,589.28 = 3,429.65 : x
  2. Step 2: Convert to fraction form
    6,224.15/8,589.28 = 3,429.65/x
  3. Step 3: Cross multiply
    6,224.15x = 8,589.28 × 3,429.65
  4. Step 4: Simplify right side
    6,224.15x = 29,458,206.97
  5. Step 5: Solve for x
    x = 29,458,206.97/6,224.15
  6. Step 6: Final answer
    x = 4,732.89

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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.