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Finding the Fourth Proportional to 3,882.09, 5,824.07 and 1,285.03

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Solution

The fourth proportional to 3,882.09, 5,824.07 and 1,285.03 is: 1,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.09 : 5,824.07 = 1,285.03 : x
  2. Step 2: Convert to fraction form
    3,882.09/5,824.07 = 1,285.03/x
  3. Step 3: Cross multiply
    3,882.09x = 5,824.07 × 1,285.03
  4. Step 4: Simplify right side
    3,882.09x = 7,484,110.35
  5. Step 5: Solve for x
    x = 7,484,110.35/3,882.09
  6. Step 6: Final answer
    x = 1,927.85

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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.