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Finding the Fourth Proportional to 5,745.53, 7,928.53 and 3,227.74

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Solution

The fourth proportional to 5,745.53, 7,928.53 and 3,227.74 is: 4,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.53 : 7,928.53 = 3,227.74 : x
  2. Step 2: Convert to fraction form
    5,745.53/7,928.53 = 3,227.74/x
  3. Step 3: Cross multiply
    5,745.53x = 7,928.53 × 3,227.74
  4. Step 4: Simplify right side
    5,745.53x = 25,591,235.26
  5. Step 5: Solve for x
    x = 25,591,235.26/5,745.53
  6. Step 6: Final answer
    x = 4,454.12

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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.