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Finding the Fourth Proportional to 3,999, 5,527.36 and 3,523.26

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Solution

The fourth proportional to 3,999, 5,527.36 and 3,523.26 is: 4,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999 : 5,527.36 = 3,523.26 : x
  2. Step 2: Convert to fraction form
    3,999/5,527.36 = 3,523.26/x
  3. Step 3: Cross multiply
    3,999x = 5,527.36 × 3,523.26
  4. Step 4: Simplify right side
    3,999x = 19,474,326.39
  5. Step 5: Solve for x
    x = 19,474,326.39/3,999
  6. Step 6: Final answer
    x = 4,869.80

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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.