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Finding the Fourth Proportional to 3,257.74, 4,886.54 and 792.57

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Solution

The fourth proportional to 3,257.74, 4,886.54 and 792.57 is: 1,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.74 : 4,886.54 = 792.57 : x
  2. Step 2: Convert to fraction form
    3,257.74/4,886.54 = 792.57/x
  3. Step 3: Cross multiply
    3,257.74x = 4,886.54 × 792.57
  4. Step 4: Simplify right side
    3,257.74x = 3,872,946.80
  5. Step 5: Solve for x
    x = 3,872,946.80/3,257.74
  6. Step 6: Final answer
    x = 1,188.84

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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.