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Finding the Fourth Proportional to 4,553.69, 6,834.24 and 2,363.04

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Solution

The fourth proportional to 4,553.69, 6,834.24 and 2,363.04 is: 3,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.69 : 6,834.24 = 2,363.04 : x
  2. Step 2: Convert to fraction form
    4,553.69/6,834.24 = 2,363.04/x
  3. Step 3: Cross multiply
    4,553.69x = 6,834.24 × 2,363.04
  4. Step 4: Simplify right side
    4,553.69x = 16,149,582.49
  5. Step 5: Solve for x
    x = 16,149,582.49/4,553.69
  6. Step 6: Final answer
    x = 3,546.49

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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.