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Finding the Fourth Proportional to 3,536.94, 5,305.44 and 939.88

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Solution

The fourth proportional to 3,536.94, 5,305.44 and 939.88 is: 1,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.94 : 5,305.44 = 939.88 : x
  2. Step 2: Convert to fraction form
    3,536.94/5,305.44 = 939.88/x
  3. Step 3: Cross multiply
    3,536.94x = 5,305.44 × 939.88
  4. Step 4: Simplify right side
    3,536.94x = 4,986,476.95
  5. Step 5: Solve for x
    x = 4,986,476.95/3,536.94
  6. Step 6: Final answer
    x = 1,409.83

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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.