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Finding the Fourth Proportional to 6,422.22, 8,862.75 and 3,627.78

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Solution

The fourth proportional to 6,422.22, 8,862.75 and 3,627.78 is: 5,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.22 : 8,862.75 = 3,627.78 : x
  2. Step 2: Convert to fraction form
    6,422.22/8,862.75 = 3,627.78/x
  3. Step 3: Cross multiply
    6,422.22x = 8,862.75 × 3,627.78
  4. Step 4: Simplify right side
    6,422.22x = 32,152,107.20
  5. Step 5: Solve for x
    x = 32,152,107.20/6,422.22
  6. Step 6: Final answer
    x = 5,006.39

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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.