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Finding the Fourth Proportional to 4,823.43, 7,223.46 and 3,338.49

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Solution

The fourth proportional to 4,823.43, 7,223.46 and 3,338.49 is: 4,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.43 : 7,223.46 = 3,338.49 : x
  2. Step 2: Convert to fraction form
    4,823.43/7,223.46 = 3,338.49/x
  3. Step 3: Cross multiply
    4,823.43x = 7,223.46 × 3,338.49
  4. Step 4: Simplify right side
    4,823.43x = 24,115,448.98
  5. Step 5: Solve for x
    x = 24,115,448.98/4,823.43
  6. Step 6: Final answer
    x = 4,999.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.