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Finding the Fourth Proportional to 5,412.75, 7,469.60 and 2,928.75

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Solution

The fourth proportional to 5,412.75, 7,469.60 and 2,928.75 is: 4,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.75 : 7,469.60 = 2,928.75 : x
  2. Step 2: Convert to fraction form
    5,412.75/7,469.60 = 2,928.75/x
  3. Step 3: Cross multiply
    5,412.75x = 7,469.60 × 2,928.75
  4. Step 4: Simplify right side
    5,412.75x = 21,876,576.36
  5. Step 5: Solve for x
    x = 21,876,576.36/5,412.75
  6. Step 6: Final answer
    x = 4,041.68

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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.