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Finding the Fourth Proportional to 6,197.92, 8,550.34 and 3,680.13

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Solution

The fourth proportional to 6,197.92, 8,550.34 and 3,680.13 is: 5,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.92 : 8,550.34 = 3,680.13 : x
  2. Step 2: Convert to fraction form
    6,197.92/8,550.34 = 3,680.13/x
  3. Step 3: Cross multiply
    6,197.92x = 8,550.34 × 3,680.13
  4. Step 4: Simplify right side
    6,197.92x = 31,466,362.74
  5. Step 5: Solve for x
    x = 31,466,362.74/6,197.92
  6. Step 6: Final answer
    x = 5,076.92

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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.