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Finding the Fourth Proportional to 6,299.53, 8,693.22 and 3,428.18

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Solution

The fourth proportional to 6,299.53, 8,693.22 and 3,428.18 is: 4,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.53 : 8,693.22 = 3,428.18 : x
  2. Step 2: Convert to fraction form
    6,299.53/8,693.22 = 3,428.18/x
  3. Step 3: Cross multiply
    6,299.53x = 8,693.22 × 3,428.18
  4. Step 4: Simplify right side
    6,299.53x = 29,801,922.94
  5. Step 5: Solve for x
    x = 29,801,922.94/6,299.53
  6. Step 6: Final answer
    x = 4,730.82

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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.