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Finding the Fourth Proportional to 3,223.70, 4,834.92 and 1,143.62

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Solution

The fourth proportional to 3,223.70, 4,834.92 and 1,143.62 is: 1,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.70 : 4,834.92 = 1,143.62 : x
  2. Step 2: Convert to fraction form
    3,223.70/4,834.92 = 1,143.62/x
  3. Step 3: Cross multiply
    3,223.70x = 4,834.92 × 1,143.62
  4. Step 4: Simplify right side
    3,223.70x = 5,529,287.04
  5. Step 5: Solve for x
    x = 5,529,287.04/3,223.70
  6. Step 6: Final answer
    x = 1,715.20

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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.