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Finding the Fourth Proportional to 6,224, 8,589.18 and 3,429.56

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Solution

The fourth proportional to 6,224, 8,589.18 and 3,429.56 is: 4,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224 : 8,589.18 = 3,429.56 : x
  2. Step 2: Convert to fraction form
    6,224/8,589.18 = 3,429.56/x
  3. Step 3: Cross multiply
    6,224x = 8,589.18 × 3,429.56
  4. Step 4: Simplify right side
    6,224x = 29,457,108.16
  5. Step 5: Solve for x
    x = 29,457,108.16/6,224
  6. Step 6: Final answer
    x = 4,732.83

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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.