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Finding the Fourth Proportional to 3,994.73, 5,992.07 and 1,033.17

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Solution

The fourth proportional to 3,994.73, 5,992.07 and 1,033.17 is: 1,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.73 : 5,992.07 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    3,994.73/5,992.07 = 1,033.17/x
  3. Step 3: Cross multiply
    3,994.73x = 5,992.07 × 1,033.17
  4. Step 4: Simplify right side
    3,994.73x = 6,190,821.80
  5. Step 5: Solve for x
    x = 6,190,821.80/3,994.73
  6. Step 6: Final answer
    x = 1,549.75

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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.