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Finding the Fourth Proportional to 3,784.26, 5,222.98 and 2,128.26

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Solution

The fourth proportional to 3,784.26, 5,222.98 and 2,128.26 is: 2,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.26 : 5,222.98 = 2,128.26 : x
  2. Step 2: Convert to fraction form
    3,784.26/5,222.98 = 2,128.26/x
  3. Step 3: Cross multiply
    3,784.26x = 5,222.98 × 2,128.26
  4. Step 4: Simplify right side
    3,784.26x = 11,115,859.41
  5. Step 5: Solve for x
    x = 11,115,859.41/3,784.26
  6. Step 6: Final answer
    x = 2,937.39

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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.