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Finding the Fourth Proportional to 6,335.22, 8,743.11 and 3,647.28

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Solution

The fourth proportional to 6,335.22, 8,743.11 and 3,647.28 is: 5,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.22 : 8,743.11 = 3,647.28 : x
  2. Step 2: Convert to fraction form
    6,335.22/8,743.11 = 3,647.28/x
  3. Step 3: Cross multiply
    6,335.22x = 8,743.11 × 3,647.28
  4. Step 4: Simplify right side
    6,335.22x = 31,888,570.24
  5. Step 5: Solve for x
    x = 31,888,570.24/6,335.22
  6. Step 6: Final answer
    x = 5,033.54

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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.