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Finding the Fourth Proportional to 3,257.21, 4,885.76 and 792.02

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Solution

The fourth proportional to 3,257.21, 4,885.76 and 792.02 is: 1,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.21 : 4,885.76 = 792.02 : x
  2. Step 2: Convert to fraction form
    3,257.21/4,885.76 = 792.02/x
  3. Step 3: Cross multiply
    3,257.21x = 4,885.76 × 792.02
  4. Step 4: Simplify right side
    3,257.21x = 3,869,619.64
  5. Step 5: Solve for x
    x = 3,869,619.64/3,257.21
  6. Step 6: Final answer
    x = 1,188.02

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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.