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Finding the Fourth Proportional to 6,457.26, 8,912.46 and 4,098.96

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Solution

The fourth proportional to 6,457.26, 8,912.46 and 4,098.96 is: 5,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.26 : 8,912.46 = 4,098.96 : x
  2. Step 2: Convert to fraction form
    6,457.26/8,912.46 = 4,098.96/x
  3. Step 3: Cross multiply
    6,457.26x = 8,912.46 × 4,098.96
  4. Step 4: Simplify right side
    6,457.26x = 36,531,817.04
  5. Step 5: Solve for x
    x = 36,531,817.04/6,457.26
  6. Step 6: Final answer
    x = 5,657.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.