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Finding the Fourth Proportional to 3,165.92, 4,369.08 and 2,772.24

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Solution

The fourth proportional to 3,165.92, 4,369.08 and 2,772.24 is: 3,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.92 : 4,369.08 = 2,772.24 : x
  2. Step 2: Convert to fraction form
    3,165.92/4,369.08 = 2,772.24/x
  3. Step 3: Cross multiply
    3,165.92x = 4,369.08 × 2,772.24
  4. Step 4: Simplify right side
    3,165.92x = 12,112,138.34
  5. Step 5: Solve for x
    x = 12,112,138.34/3,165.92
  6. Step 6: Final answer
    x = 3,825.79

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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.