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Finding the Fourth Proportional to 3,933.59, 5,428.32 and 2,165.22

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Solution

The fourth proportional to 3,933.59, 5,428.32 and 2,165.22 is: 2,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.59 : 5,428.32 = 2,165.22 : x
  2. Step 2: Convert to fraction form
    3,933.59/5,428.32 = 2,165.22/x
  3. Step 3: Cross multiply
    3,933.59x = 5,428.32 × 2,165.22
  4. Step 4: Simplify right side
    3,933.59x = 11,753,507.03
  5. Step 5: Solve for x
    x = 11,753,507.03/3,933.59
  6. Step 6: Final answer
    x = 2,987.99

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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.