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Finding the Fourth Proportional to 6,177.82, 8,525.38 and 3,383.32

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Solution

The fourth proportional to 6,177.82, 8,525.38 and 3,383.32 is: 4,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.82 : 8,525.38 = 3,383.32 : x
  2. Step 2: Convert to fraction form
    6,177.82/8,525.38 = 3,383.32/x
  3. Step 3: Cross multiply
    6,177.82x = 8,525.38 × 3,383.32
  4. Step 4: Simplify right side
    6,177.82x = 28,844,088.66
  5. Step 5: Solve for x
    x = 28,844,088.66/6,177.82
  6. Step 6: Final answer
    x = 4,668.98

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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.