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Finding the Fourth Proportional to 5,105.72, 7,653.12 and 2,639.88

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Solution

The fourth proportional to 5,105.72, 7,653.12 and 2,639.88 is: 3,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.72 : 7,653.12 = 2,639.88 : x
  2. Step 2: Convert to fraction form
    5,105.72/7,653.12 = 2,639.88/x
  3. Step 3: Cross multiply
    5,105.72x = 7,653.12 × 2,639.88
  4. Step 4: Simplify right side
    5,105.72x = 20,203,318.43
  5. Step 5: Solve for x
    x = 20,203,318.43/5,105.72
  6. Step 6: Final answer
    x = 3,957.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.