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Finding the Fourth Proportional to 5,912.09, 8,099.53 and 5,690.51

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Solution

The fourth proportional to 5,912.09, 8,099.53 and 5,690.51 is: 7,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.09 : 8,099.53 = 5,690.51 : x
  2. Step 2: Convert to fraction form
    5,912.09/8,099.53 = 5,690.51/x
  3. Step 3: Cross multiply
    5,912.09x = 8,099.53 × 5,690.51
  4. Step 4: Simplify right side
    5,912.09x = 46,090,456.46
  5. Step 5: Solve for x
    x = 46,090,456.46/5,912.09
  6. Step 6: Final answer
    x = 7,795.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.