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Finding the Fourth Proportional to 3,768.64, 5,200.16 and 2,112.32

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Solution

The fourth proportional to 3,768.64, 5,200.16 and 2,112.32 is: 2,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.64 : 5,200.16 = 2,112.32 : x
  2. Step 2: Convert to fraction form
    3,768.64/5,200.16 = 2,112.32/x
  3. Step 3: Cross multiply
    3,768.64x = 5,200.16 × 2,112.32
  4. Step 4: Simplify right side
    3,768.64x = 10,984,401.97
  5. Step 5: Solve for x
    x = 10,984,401.97/3,768.64
  6. Step 6: Final answer
    x = 2,914.69

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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.