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Finding the Fourth Proportional to 4,164.68, 5,749.62 and 2,769.32

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Solution

The fourth proportional to 4,164.68, 5,749.62 and 2,769.32 is: 3,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.68 : 5,749.62 = 2,769.32 : x
  2. Step 2: Convert to fraction form
    4,164.68/5,749.62 = 2,769.32/x
  3. Step 3: Cross multiply
    4,164.68x = 5,749.62 × 2,769.32
  4. Step 4: Simplify right side
    4,164.68x = 15,922,537.66
  5. Step 5: Solve for x
    x = 15,922,537.66/4,164.68
  6. Step 6: Final answer
    x = 3,823.23

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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.