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Finding the Fourth Proportional to 6,177.81, 8,525.38 and 3,383.31

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Solution

The fourth proportional to 6,177.81, 8,525.38 and 3,383.31 is: 4,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.81 : 8,525.38 = 3,383.31 : x
  2. Step 2: Convert to fraction form
    6,177.81/8,525.38 = 3,383.31/x
  3. Step 3: Cross multiply
    6,177.81x = 8,525.38 × 3,383.31
  4. Step 4: Simplify right side
    6,177.81x = 28,844,003.41
  5. Step 5: Solve for x
    x = 28,844,003.41/6,177.81
  6. Step 6: Final answer
    x = 4,668.97

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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.