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Finding the Fourth Proportional to 3,994.33, 5,992.68 and 2,047.90

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Solution

The fourth proportional to 3,994.33, 5,992.68 and 2,047.90 is: 3,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.33 : 5,992.68 = 2,047.90 : x
  2. Step 2: Convert to fraction form
    3,994.33/5,992.68 = 2,047.90/x
  3. Step 3: Cross multiply
    3,994.33x = 5,992.68 × 2,047.90
  4. Step 4: Simplify right side
    3,994.33x = 12,272,409.37
  5. Step 5: Solve for x
    x = 12,272,409.37/3,994.33
  6. Step 6: Final answer
    x = 3,072.46

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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.