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Finding the Fourth Proportional to 5,149.12, 7,723.61 and 1,639.34

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Solution

The fourth proportional to 5,149.12, 7,723.61 and 1,639.34 is: 2,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.12 : 7,723.61 = 1,639.34 : x
  2. Step 2: Convert to fraction form
    5,149.12/7,723.61 = 1,639.34/x
  3. Step 3: Cross multiply
    5,149.12x = 7,723.61 × 1,639.34
  4. Step 4: Simplify right side
    5,149.12x = 12,661,622.82
  5. Step 5: Solve for x
    x = 12,661,622.82/5,149.12
  6. Step 6: Final answer
    x = 2,458.99

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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.