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Finding the Fourth Proportional to 5,195.34, 7,173.09 and 3,781.62

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Solution

The fourth proportional to 5,195.34, 7,173.09 and 3,781.62 is: 5,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.34 : 7,173.09 = 3,781.62 : x
  2. Step 2: Convert to fraction form
    5,195.34/7,173.09 = 3,781.62/x
  3. Step 3: Cross multiply
    5,195.34x = 7,173.09 × 3,781.62
  4. Step 4: Simplify right side
    5,195.34x = 27,125,900.61
  5. Step 5: Solve for x
    x = 27,125,900.61/5,195.34
  6. Step 6: Final answer
    x = 5,221.20

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