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Finding the Fourth Proportional to 4,105.68, 6,157.09 and 1,639.83

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Solution

The fourth proportional to 4,105.68, 6,157.09 and 1,639.83 is: 2,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.68 : 6,157.09 = 1,639.83 : x
  2. Step 2: Convert to fraction form
    4,105.68/6,157.09 = 1,639.83/x
  3. Step 3: Cross multiply
    4,105.68x = 6,157.09 × 1,639.83
  4. Step 4: Simplify right side
    4,105.68x = 10,096,580.89
  5. Step 5: Solve for x
    x = 10,096,580.89/4,105.68
  6. Step 6: Final answer
    x = 2,459.17

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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.