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Finding the Fourth Proportional to 3,644.64, 5,471.96 and 1,891.08

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Solution

The fourth proportional to 3,644.64, 5,471.96 and 1,891.08 is: 2,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.64 : 5,471.96 = 1,891.08 : x
  2. Step 2: Convert to fraction form
    3,644.64/5,471.96 = 1,891.08/x
  3. Step 3: Cross multiply
    3,644.64x = 5,471.96 × 1,891.08
  4. Step 4: Simplify right side
    3,644.64x = 10,347,914.12
  5. Step 5: Solve for x
    x = 10,347,914.12/3,644.64
  6. Step 6: Final answer
    x = 2,839.21

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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.