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Finding the Fourth Proportional to 5,564.12, 7,679.80 and 3,327

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Solution

The fourth proportional to 5,564.12, 7,679.80 and 3,327 is: 4,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.12 : 7,679.80 = 3,327 : x
  2. Step 2: Convert to fraction form
    5,564.12/7,679.80 = 3,327/x
  3. Step 3: Cross multiply
    5,564.12x = 7,679.80 × 3,327
  4. Step 4: Simplify right side
    5,564.12x = 25,550,694.60
  5. Step 5: Solve for x
    x = 25,550,694.60/5,564.12
  6. Step 6: Final answer
    x = 4,592.05

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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.