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Finding the Fourth Proportional to 3,991.36, 5,987.68 and 1,683.20

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Solution

The fourth proportional to 3,991.36, 5,987.68 and 1,683.20 is: 2,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.36 : 5,987.68 = 1,683.20 : x
  2. Step 2: Convert to fraction form
    3,991.36/5,987.68 = 1,683.20/x
  3. Step 3: Cross multiply
    3,991.36x = 5,987.68 × 1,683.20
  4. Step 4: Simplify right side
    3,991.36x = 10,078,462.98
  5. Step 5: Solve for x
    x = 10,078,462.98/3,991.36
  6. Step 6: Final answer
    x = 2,525.07

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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.