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Finding the Fourth Proportional to 6,091.92, 8,401.84 and 3,732.40

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Solution

The fourth proportional to 6,091.92, 8,401.84 and 3,732.40 is: 5,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.92 : 8,401.84 = 3,732.40 : x
  2. Step 2: Convert to fraction form
    6,091.92/8,401.84 = 3,732.40/x
  3. Step 3: Cross multiply
    6,091.92x = 8,401.84 × 3,732.40
  4. Step 4: Simplify right side
    6,091.92x = 31,359,027.62
  5. Step 5: Solve for x
    x = 31,359,027.62/6,091.92
  6. Step 6: Final answer
    x = 5,147.64

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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.