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Finding the Fourth Proportional to 5,473.92, 8,205.12 and 2,736

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Solution

The fourth proportional to 5,473.92, 8,205.12 and 2,736 is: 4,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.92 : 8,205.12 = 2,736 : x
  2. Step 2: Convert to fraction form
    5,473.92/8,205.12 = 2,736/x
  3. Step 3: Cross multiply
    5,473.92x = 8,205.12 × 2,736
  4. Step 4: Simplify right side
    5,473.92x = 22,449,208.32
  5. Step 5: Solve for x
    x = 22,449,208.32/5,473.92
  6. Step 6: Final answer
    x = 4,101.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.