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Finding the Fourth Proportional to 5,943.65, 8,910.46 and 3,747.54

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Solution

The fourth proportional to 5,943.65, 8,910.46 and 3,747.54 is: 5,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.65 : 8,910.46 = 3,747.54 : x
  2. Step 2: Convert to fraction form
    5,943.65/8,910.46 = 3,747.54/x
  3. Step 3: Cross multiply
    5,943.65x = 8,910.46 × 3,747.54
  4. Step 4: Simplify right side
    5,943.65x = 33,392,286.53
  5. Step 5: Solve for x
    x = 33,392,286.53/5,943.65
  6. Step 6: Final answer
    x = 5,618.14

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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.