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Finding the Fourth Proportional to 6,224.09, 8,589.20 and 3,429.59

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Solution

The fourth proportional to 6,224.09, 8,589.20 and 3,429.59 is: 4,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.09 : 8,589.20 = 3,429.59 : x
  2. Step 2: Convert to fraction form
    6,224.09/8,589.20 = 3,429.59/x
  3. Step 3: Cross multiply
    6,224.09x = 8,589.20 × 3,429.59
  4. Step 4: Simplify right side
    6,224.09x = 29,457,374.33
  5. Step 5: Solve for x
    x = 29,457,374.33/6,224.09
  6. Step 6: Final answer
    x = 4,732.80

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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.