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Finding the Fourth Proportional to 3,563.64, 4,918.05 and 1,991.84

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Solution

The fourth proportional to 3,563.64, 4,918.05 and 1,991.84 is: 2,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.64 : 4,918.05 = 1,991.84 : x
  2. Step 2: Convert to fraction form
    3,563.64/4,918.05 = 1,991.84/x
  3. Step 3: Cross multiply
    3,563.64x = 4,918.05 × 1,991.84
  4. Step 4: Simplify right side
    3,563.64x = 9,795,944.12
  5. Step 5: Solve for x
    x = 9,795,944.12/3,563.64
  6. Step 6: Final answer
    x = 2,748.86

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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.