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Finding the Fourth Proportional to 3,563.28, 4,917.16 and 1,991.32

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Solution

The fourth proportional to 3,563.28, 4,917.16 and 1,991.32 is: 2,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.28 : 4,917.16 = 1,991.32 : x
  2. Step 2: Convert to fraction form
    3,563.28/4,917.16 = 1,991.32/x
  3. Step 3: Cross multiply
    3,563.28x = 4,917.16 × 1,991.32
  4. Step 4: Simplify right side
    3,563.28x = 9,791,639.05
  5. Step 5: Solve for x
    x = 9,791,639.05/3,563.28
  6. Step 6: Final answer
    x = 2,747.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.