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Finding the Fourth Proportional to 3,257.28, 4,885.92 and 792.06

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Solution

The fourth proportional to 3,257.28, 4,885.92 and 792.06 is: 1,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.28 : 4,885.92 = 792.06 : x
  2. Step 2: Convert to fraction form
    3,257.28/4,885.92 = 792.06/x
  3. Step 3: Cross multiply
    3,257.28x = 4,885.92 × 792.06
  4. Step 4: Simplify right side
    3,257.28x = 3,869,941.80
  5. Step 5: Solve for x
    x = 3,869,941.80/3,257.28
  6. Step 6: Final answer
    x = 1,188.09

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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.