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Finding the Fourth Proportional to 3,208.16, 4,424.24 and 2,736.24

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Solution

The fourth proportional to 3,208.16, 4,424.24 and 2,736.24 is: 3,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.16 : 4,424.24 = 2,736.24 : x
  2. Step 2: Convert to fraction form
    3,208.16/4,424.24 = 2,736.24/x
  3. Step 3: Cross multiply
    3,208.16x = 4,424.24 × 2,736.24
  4. Step 4: Simplify right side
    3,208.16x = 12,105,782.46
  5. Step 5: Solve for x
    x = 12,105,782.46/3,208.16
  6. Step 6: Final answer
    x = 3,773.43

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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.