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Finding the Fourth Proportional to 5,745.66, 7,928.90 and 3,227.78

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Solution

The fourth proportional to 5,745.66, 7,928.90 and 3,227.78 is: 4,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.66 : 7,928.90 = 3,227.78 : x
  2. Step 2: Convert to fraction form
    5,745.66/7,928.90 = 3,227.78/x
  3. Step 3: Cross multiply
    5,745.66x = 7,928.90 × 3,227.78
  4. Step 4: Simplify right side
    5,745.66x = 25,592,744.84
  5. Step 5: Solve for x
    x = 25,592,744.84/5,745.66
  6. Step 6: Final answer
    x = 4,454.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.