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Finding the Fourth Proportional to 4,169.94, 5,742.27 and 3,727.68

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Solution

The fourth proportional to 4,169.94, 5,742.27 and 3,727.68 is: 5,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.94 : 5,742.27 = 3,727.68 : x
  2. Step 2: Convert to fraction form
    4,169.94/5,742.27 = 3,727.68/x
  3. Step 3: Cross multiply
    4,169.94x = 5,742.27 × 3,727.68
  4. Step 4: Simplify right side
    4,169.94x = 21,405,345.03
  5. Step 5: Solve for x
    x = 21,405,345.03/4,169.94
  6. Step 6: Final answer
    x = 5,133.25

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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.