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Finding the Fourth Proportional to 3,185.28, 4,769.28 and 3,043.20

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Solution

The fourth proportional to 3,185.28, 4,769.28 and 3,043.20 is: 4,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.28 : 4,769.28 = 3,043.20 : x
  2. Step 2: Convert to fraction form
    3,185.28/4,769.28 = 3,043.20/x
  3. Step 3: Cross multiply
    3,185.28x = 4,769.28 × 3,043.20
  4. Step 4: Simplify right side
    3,185.28x = 14,513,872.90
  5. Step 5: Solve for x
    x = 14,513,872.90/3,185.28
  6. Step 6: Final answer
    x = 4,556.55

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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.