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Finding the Fourth Proportional to 3,990.25, 5,987.94 and 1,681.75

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Solution

The fourth proportional to 3,990.25, 5,987.94 and 1,681.75 is: 2,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.25 : 5,987.94 = 1,681.75 : x
  2. Step 2: Convert to fraction form
    3,990.25/5,987.94 = 1,681.75/x
  3. Step 3: Cross multiply
    3,990.25x = 5,987.94 × 1,681.75
  4. Step 4: Simplify right side
    3,990.25x = 10,070,218.10
  5. Step 5: Solve for x
    x = 10,070,218.10/3,990.25
  6. Step 6: Final answer
    x = 2,523.71

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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.