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Finding the Fourth Proportional to 5,059.75, 7,584.75 and 3,206.27

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Solution

The fourth proportional to 5,059.75, 7,584.75 and 3,206.27 is: 4,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.75 : 7,584.75 = 3,206.27 : x
  2. Step 2: Convert to fraction form
    5,059.75/7,584.75 = 3,206.27/x
  3. Step 3: Cross multiply
    5,059.75x = 7,584.75 × 3,206.27
  4. Step 4: Simplify right side
    5,059.75x = 24,318,756.38
  5. Step 5: Solve for x
    x = 24,318,756.38/5,059.75
  6. Step 6: Final answer
    x = 4,806.32

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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.