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Finding the Fourth Proportional to 5,795.28, 8,694 and 3,822.12

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Solution

The fourth proportional to 5,795.28, 8,694 and 3,822.12 is: 5,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.28 : 8,694 = 3,822.12 : x
  2. Step 2: Convert to fraction form
    5,795.28/8,694 = 3,822.12/x
  3. Step 3: Cross multiply
    5,795.28x = 8,694 × 3,822.12
  4. Step 4: Simplify right side
    5,795.28x = 33,229,511.28
  5. Step 5: Solve for x
    x = 33,229,511.28/5,795.28
  6. Step 6: Final answer
    x = 5,733.89

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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.