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Finding the Fourth Proportional to 3,476.39, 5,214.54 and 843.92

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Solution

The fourth proportional to 3,476.39, 5,214.54 and 843.92 is: 1,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.39 : 5,214.54 = 843.92 : x
  2. Step 2: Convert to fraction form
    3,476.39/5,214.54 = 843.92/x
  3. Step 3: Cross multiply
    3,476.39x = 5,214.54 × 843.92
  4. Step 4: Simplify right side
    3,476.39x = 4,400,625.36
  5. Step 5: Solve for x
    x = 4,400,625.36/3,476.39
  6. Step 6: Final answer
    x = 1,265.86

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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.