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Finding the Fourth Proportional to 3,177, 4,765.56 and 868.56

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Solution

The fourth proportional to 3,177, 4,765.56 and 868.56 is: 1,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,765.56 = 868.56 : x
  2. Step 2: Convert to fraction form
    3,177/4,765.56 = 868.56/x
  3. Step 3: Cross multiply
    3,177x = 4,765.56 × 868.56
  4. Step 4: Simplify right side
    3,177x = 4,139,174.79
  5. Step 5: Solve for x
    x = 4,139,174.79/3,177
  6. Step 6: Final answer
    x = 1,302.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.