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Finding the Fourth Proportional to 3,933.58, 5,428.14 and 2,164.84

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Solution

The fourth proportional to 3,933.58, 5,428.14 and 2,164.84 is: 2,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.58 : 5,428.14 = 2,164.84 : x
  2. Step 2: Convert to fraction form
    3,933.58/5,428.14 = 2,164.84/x
  3. Step 3: Cross multiply
    3,933.58x = 5,428.14 × 2,164.84
  4. Step 4: Simplify right side
    3,933.58x = 11,751,069.53
  5. Step 5: Solve for x
    x = 11,751,069.53/3,933.58
  6. Step 6: Final answer
    x = 2,987.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.