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Finding the Fourth Proportional to 5,945.44, 8,202.56 and 3,586.72

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Solution

The fourth proportional to 5,945.44, 8,202.56 and 3,586.72 is: 4,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.44 : 8,202.56 = 3,586.72 : x
  2. Step 2: Convert to fraction form
    5,945.44/8,202.56 = 3,586.72/x
  3. Step 3: Cross multiply
    5,945.44x = 8,202.56 × 3,586.72
  4. Step 4: Simplify right side
    5,945.44x = 29,420,286.00
  5. Step 5: Solve for x
    x = 29,420,286.00/5,945.44
  6. Step 6: Final answer
    x = 4,948.38

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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.