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Finding the Fourth Proportional to 3,881.03, 5,824.45 and 2,843.67

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Solution

The fourth proportional to 3,881.03, 5,824.45 and 2,843.67 is: 4,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.03 : 5,824.45 = 2,843.67 : x
  2. Step 2: Convert to fraction form
    3,881.03/5,824.45 = 2,843.67/x
  3. Step 3: Cross multiply
    3,881.03x = 5,824.45 × 2,843.67
  4. Step 4: Simplify right side
    3,881.03x = 16,562,813.73
  5. Step 5: Solve for x
    x = 16,562,813.73/3,881.03
  6. Step 6: Final answer
    x = 4,267.64

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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.