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Finding the Fourth Proportional to 6,457.92, 9,684.48 and 2,761.92

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Solution

The fourth proportional to 6,457.92, 9,684.48 and 2,761.92 is: 4,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 9,684.48 = 2,761.92 : x
  2. Step 2: Convert to fraction form
    6,457.92/9,684.48 = 2,761.92/x
  3. Step 3: Cross multiply
    6,457.92x = 9,684.48 × 2,761.92
  4. Step 4: Simplify right side
    6,457.92x = 26,747,759.00
  5. Step 5: Solve for x
    x = 26,747,759.00/6,457.92
  6. Step 6: Final answer
    x = 4,141.85

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Why These Related Problems?

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