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Finding the Fourth Proportional to 3,728.92, 5,593.54 and 1,877.82

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Solution

The fourth proportional to 3,728.92, 5,593.54 and 1,877.82 is: 2,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.92 : 5,593.54 = 1,877.82 : x
  2. Step 2: Convert to fraction form
    3,728.92/5,593.54 = 1,877.82/x
  3. Step 3: Cross multiply
    3,728.92x = 5,593.54 × 1,877.82
  4. Step 4: Simplify right side
    3,728.92x = 10,503,694.25
  5. Step 5: Solve for x
    x = 10,503,694.25/3,728.92
  6. Step 6: Final answer
    x = 2,816.82

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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.