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Finding the Fourth Proportional to 3,171, 4,756.56 and 862.56

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Solution

The fourth proportional to 3,171, 4,756.56 and 862.56 is: 1,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 4,756.56 = 862.56 : x
  2. Step 2: Convert to fraction form
    3,171/4,756.56 = 862.56/x
  3. Step 3: Cross multiply
    3,171x = 4,756.56 × 862.56
  4. Step 4: Simplify right side
    3,171x = 4,102,818.39
  5. Step 5: Solve for x
    x = 4,102,818.39/3,171
  6. Step 6: Final answer
    x = 1,293.86

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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.