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Finding the Fourth Proportional to 4,255.34, 6,366.92 and 3,823.70

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Solution

The fourth proportional to 4,255.34, 6,366.92 and 3,823.70 is: 5,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.34 : 6,366.92 = 3,823.70 : x
  2. Step 2: Convert to fraction form
    4,255.34/6,366.92 = 3,823.70/x
  3. Step 3: Cross multiply
    4,255.34x = 6,366.92 × 3,823.70
  4. Step 4: Simplify right side
    4,255.34x = 24,345,141.05
  5. Step 5: Solve for x
    x = 24,345,141.05/4,255.34
  6. Step 6: Final answer
    x = 5,721.09

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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.