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Finding the Fourth Proportional to 5,195.66, 7,164.56 and 3,425

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Solution

The fourth proportional to 5,195.66, 7,164.56 and 3,425 is: 4,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.66 : 7,164.56 = 3,425 : x
  2. Step 2: Convert to fraction form
    5,195.66/7,164.56 = 3,425/x
  3. Step 3: Cross multiply
    5,195.66x = 7,164.56 × 3,425
  4. Step 4: Simplify right side
    5,195.66x = 24,538,600.88
  5. Step 5: Solve for x
    x = 24,538,600.88/5,195.66
  6. Step 6: Final answer
    x = 4,722.90

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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.