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Finding the Fourth Proportional to 4,760.43, 6,563.10 and 3,906.57

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Solution

The fourth proportional to 4,760.43, 6,563.10 and 3,906.57 is: 5,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.43 : 6,563.10 = 3,906.57 : x
  2. Step 2: Convert to fraction form
    4,760.43/6,563.10 = 3,906.57/x
  3. Step 3: Cross multiply
    4,760.43x = 6,563.10 × 3,906.57
  4. Step 4: Simplify right side
    4,760.43x = 25,639,209.57
  5. Step 5: Solve for x
    x = 25,639,209.57/4,760.43
  6. Step 6: Final answer
    x = 5,385.90

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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.