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Finding the Fourth Proportional to 3,586.38, 4,951.86 and 3,163.56

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Solution

The fourth proportional to 3,586.38, 4,951.86 and 3,163.56 is: 4,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.38 : 4,951.86 = 3,163.56 : x
  2. Step 2: Convert to fraction form
    3,586.38/4,951.86 = 3,163.56/x
  3. Step 3: Cross multiply
    3,586.38x = 4,951.86 × 3,163.56
  4. Step 4: Simplify right side
    3,586.38x = 15,665,506.22
  5. Step 5: Solve for x
    x = 15,665,506.22/3,586.38
  6. Step 6: Final answer
    x = 4,368.06

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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.