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Finding the Fourth Proportional to 3,884.92, 5,356.54 and 3,174.14

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Solution

The fourth proportional to 3,884.92, 5,356.54 and 3,174.14 is: 4,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.92 : 5,356.54 = 3,174.14 : x
  2. Step 2: Convert to fraction form
    3,884.92/5,356.54 = 3,174.14/x
  3. Step 3: Cross multiply
    3,884.92x = 5,356.54 × 3,174.14
  4. Step 4: Simplify right side
    3,884.92x = 17,002,407.88
  5. Step 5: Solve for x
    x = 17,002,407.88/3,884.92
  6. Step 6: Final answer
    x = 4,376.51

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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.