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Finding the Fourth Proportional to 5,773.56, 7,967.34 and 3,255.80

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Solution

The fourth proportional to 5,773.56, 7,967.34 and 3,255.80 is: 4,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.56 : 7,967.34 = 3,255.80 : x
  2. Step 2: Convert to fraction form
    5,773.56/7,967.34 = 3,255.80/x
  3. Step 3: Cross multiply
    5,773.56x = 7,967.34 × 3,255.80
  4. Step 4: Simplify right side
    5,773.56x = 25,940,065.57
  5. Step 5: Solve for x
    x = 25,940,065.57/5,773.56
  6. Step 6: Final answer
    x = 4,492.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.