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Finding the Fourth Proportional to 5,945.55, 8,202.29 and 3,586.38

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Solution

The fourth proportional to 5,945.55, 8,202.29 and 3,586.38 is: 4,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.55 : 8,202.29 = 3,586.38 : x
  2. Step 2: Convert to fraction form
    5,945.55/8,202.29 = 3,586.38/x
  3. Step 3: Cross multiply
    5,945.55x = 8,202.29 × 3,586.38
  4. Step 4: Simplify right side
    5,945.55x = 29,416,510.88
  5. Step 5: Solve for x
    x = 29,416,510.88/5,945.55
  6. Step 6: Final answer
    x = 4,947.65

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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.