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Finding the Fourth Proportional to 2,853.39, 3,933.21 and 2,624.27

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Solution

The fourth proportional to 2,853.39, 3,933.21 and 2,624.27 is: 3,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.39 : 3,933.21 = 2,624.27 : x
  2. Step 2: Convert to fraction form
    2,853.39/3,933.21 = 2,624.27/x
  3. Step 3: Cross multiply
    2,853.39x = 3,933.21 × 2,624.27
  4. Step 4: Simplify right side
    2,853.39x = 10,321,805.01
  5. Step 5: Solve for x
    x = 10,321,805.01/2,853.39
  6. Step 6: Final answer
    x = 3,617.38

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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.