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Finding the Fourth Proportional to 5,639.76, 8,457.52 and 1,940.96

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Solution

The fourth proportional to 5,639.76, 8,457.52 and 1,940.96 is: 2,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.76 : 8,457.52 = 1,940.96 : x
  2. Step 2: Convert to fraction form
    5,639.76/8,457.52 = 1,940.96/x
  3. Step 3: Cross multiply
    5,639.76x = 8,457.52 × 1,940.96
  4. Step 4: Simplify right side
    5,639.76x = 16,415,708.02
  5. Step 5: Solve for x
    x = 16,415,708.02/5,639.76
  6. Step 6: Final answer
    x = 2,910.71

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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.