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Finding the Fourth Proportional to 5,909, 8,153.60 and 3,256

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Solution

The fourth proportional to 5,909, 8,153.60 and 3,256 is: 4,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909 : 8,153.60 = 3,256 : x
  2. Step 2: Convert to fraction form
    5,909/8,153.60 = 3,256/x
  3. Step 3: Cross multiply
    5,909x = 8,153.60 × 3,256
  4. Step 4: Simplify right side
    5,909x = 26,548,121.60
  5. Step 5: Solve for x
    x = 26,548,121.60/5,909
  6. Step 6: Final answer
    x = 4,492.83

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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.