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Finding the Fourth Proportional to 4,223.73, 6,339.24 and 2,034

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Solution

The fourth proportional to 4,223.73, 6,339.24 and 2,034 is: 3,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.73 : 6,339.24 = 2,034 : x
  2. Step 2: Convert to fraction form
    4,223.73/6,339.24 = 2,034/x
  3. Step 3: Cross multiply
    4,223.73x = 6,339.24 × 2,034
  4. Step 4: Simplify right side
    4,223.73x = 12,894,014.16
  5. Step 5: Solve for x
    x = 12,894,014.16/4,223.73
  6. Step 6: Final answer
    x = 3,052.76

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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.