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Finding the Fourth Proportional to 4,177, 5,765.22 and 2,521.96

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Solution

The fourth proportional to 4,177, 5,765.22 and 2,521.96 is: 3,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177 : 5,765.22 = 2,521.96 : x
  2. Step 2: Convert to fraction form
    4,177/5,765.22 = 2,521.96/x
  3. Step 3: Cross multiply
    4,177x = 5,765.22 × 2,521.96
  4. Step 4: Simplify right side
    4,177x = 14,539,654.23
  5. Step 5: Solve for x
    x = 14,539,654.23/4,177
  6. Step 6: Final answer
    x = 3,480.88

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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.