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Finding the Fourth Proportional to 3,991.84, 5,987.77 and 1,394.78

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Solution

The fourth proportional to 3,991.84, 5,987.77 and 1,394.78 is: 2,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.84 : 5,987.77 = 1,394.78 : x
  2. Step 2: Convert to fraction form
    3,991.84/5,987.77 = 1,394.78/x
  3. Step 3: Cross multiply
    3,991.84x = 5,987.77 × 1,394.78
  4. Step 4: Simplify right side
    3,991.84x = 8,351,588.41
  5. Step 5: Solve for x
    x = 8,351,588.41/3,991.84
  6. Step 6: Final answer
    x = 2,092.17

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