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Finding the Fourth Proportional to 3,334.82, 5,003.04 and 994.73

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Solution

The fourth proportional to 3,334.82, 5,003.04 and 994.73 is: 1,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.82 : 5,003.04 = 994.73 : x
  2. Step 2: Convert to fraction form
    3,334.82/5,003.04 = 994.73/x
  3. Step 3: Cross multiply
    3,334.82x = 5,003.04 × 994.73
  4. Step 4: Simplify right side
    3,334.82x = 4,976,673.98
  5. Step 5: Solve for x
    x = 4,976,673.98/3,334.82
  6. Step 6: Final answer
    x = 1,492.34

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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.