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Finding the Fourth Proportional to 4,164.53, 5,744.23 and 2,674.25

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Solution

The fourth proportional to 4,164.53, 5,744.23 and 2,674.25 is: 3,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.53 : 5,744.23 = 2,674.25 : x
  2. Step 2: Convert to fraction form
    4,164.53/5,744.23 = 2,674.25/x
  3. Step 3: Cross multiply
    4,164.53x = 5,744.23 × 2,674.25
  4. Step 4: Simplify right side
    4,164.53x = 15,361,507.08
  5. Step 5: Solve for x
    x = 15,361,507.08/4,164.53
  6. Step 6: Final answer
    x = 3,688.65

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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.