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Finding the Fourth Proportional to 3,882.08, 5,824.08 and 1,285.28

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Solution

The fourth proportional to 3,882.08, 5,824.08 and 1,285.28 is: 1,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.08 : 5,824.08 = 1,285.28 : x
  2. Step 2: Convert to fraction form
    3,882.08/5,824.08 = 1,285.28/x
  3. Step 3: Cross multiply
    3,882.08x = 5,824.08 × 1,285.28
  4. Step 4: Simplify right side
    3,882.08x = 7,485,573.54
  5. Step 5: Solve for x
    x = 7,485,573.54/3,882.08
  6. Step 6: Final answer
    x = 1,928.24

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1.5x scale

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.