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Finding the Fourth Proportional to 5,180.74, 7,151.04 and 3,194.20

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Solution

The fourth proportional to 5,180.74, 7,151.04 and 3,194.20 is: 4,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.74 : 7,151.04 = 3,194.20 : x
  2. Step 2: Convert to fraction form
    5,180.74/7,151.04 = 3,194.20/x
  3. Step 3: Cross multiply
    5,180.74x = 7,151.04 × 3,194.20
  4. Step 4: Simplify right side
    5,180.74x = 22,841,851.97
  5. Step 5: Solve for x
    x = 22,841,851.97/5,180.74
  6. Step 6: Final answer
    x = 4,408.99

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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.