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Finding the Fourth Proportional to 4,093.92, 5,643 and 2,767.14

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Solution

The fourth proportional to 4,093.92, 5,643 and 2,767.14 is: 3,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.92 : 5,643 = 2,767.14 : x
  2. Step 2: Convert to fraction form
    4,093.92/5,643 = 2,767.14/x
  3. Step 3: Cross multiply
    4,093.92x = 5,643 × 2,767.14
  4. Step 4: Simplify right side
    4,093.92x = 15,614,971.02
  5. Step 5: Solve for x
    x = 15,614,971.02/4,093.92
  6. Step 6: Final answer
    x = 3,814.19

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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.