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Finding the Fourth Proportional to 3,257.22, 4,885.81 and 792.04

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Solution

The fourth proportional to 3,257.22, 4,885.81 and 792.04 is: 1,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.22 : 4,885.81 = 792.04 : x
  2. Step 2: Convert to fraction form
    3,257.22/4,885.81 = 792.04/x
  3. Step 3: Cross multiply
    3,257.22x = 4,885.81 × 792.04
  4. Step 4: Simplify right side
    3,257.22x = 3,869,756.95
  5. Step 5: Solve for x
    x = 3,869,756.95/3,257.22
  6. Step 6: Final answer
    x = 1,188.06

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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.