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Finding the Fourth Proportional to 5,943.29, 8,202.02 and 3,585.38

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Solution

The fourth proportional to 5,943.29, 8,202.02 and 3,585.38 is: 4,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.29 : 8,202.02 = 3,585.38 : x
  2. Step 2: Convert to fraction form
    5,943.29/8,202.02 = 3,585.38/x
  3. Step 3: Cross multiply
    5,943.29x = 8,202.02 × 3,585.38
  4. Step 4: Simplify right side
    5,943.29x = 29,407,299.53
  5. Step 5: Solve for x
    x = 29,407,299.53/5,943.29
  6. Step 6: Final answer
    x = 4,947.99

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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.