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Finding the Fourth Proportional to 4,173.22, 6,259.83 and 3,965.62

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Solution

The fourth proportional to 4,173.22, 6,259.83 and 3,965.62 is: 5,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.22 : 6,259.83 = 3,965.62 : x
  2. Step 2: Convert to fraction form
    4,173.22/6,259.83 = 3,965.62/x
  3. Step 3: Cross multiply
    4,173.22x = 6,259.83 × 3,965.62
  4. Step 4: Simplify right side
    4,173.22x = 24,824,107.04
  5. Step 5: Solve for x
    x = 24,824,107.04/4,173.22
  6. Step 6: Final answer
    x = 5,948.43

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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.