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Finding the Fourth Proportional to 6,351.31, 8,764.90 and 3,662.48

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Solution

The fourth proportional to 6,351.31, 8,764.90 and 3,662.48 is: 5,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.31 : 8,764.90 = 3,662.48 : x
  2. Step 2: Convert to fraction form
    6,351.31/8,764.90 = 3,662.48/x
  3. Step 3: Cross multiply
    6,351.31x = 8,764.90 × 3,662.48
  4. Step 4: Simplify right side
    6,351.31x = 32,101,283.71
  5. Step 5: Solve for x
    x = 32,101,283.71/6,351.31
  6. Step 6: Final answer
    x = 5,054.28

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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.