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Finding the Fourth Proportional to 4,177, 5,771.30 and 2,995.88

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Solution

The fourth proportional to 4,177, 5,771.30 and 2,995.88 is: 4,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177 : 5,771.30 = 2,995.88 : x
  2. Step 2: Convert to fraction form
    4,177/5,771.30 = 2,995.88/x
  3. Step 3: Cross multiply
    4,177x = 5,771.30 × 2,995.88
  4. Step 4: Simplify right side
    4,177x = 17,290,122.24
  5. Step 5: Solve for x
    x = 17,290,122.24/4,177
  6. Step 6: Final answer
    x = 4,139.36

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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.