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Finding the Fourth Proportional to 5,912.34, 8,099.87 and 5,690.76

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Solution

The fourth proportional to 5,912.34, 8,099.87 and 5,690.76 is: 7,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.34 : 8,099.87 = 5,690.76 : x
  2. Step 2: Convert to fraction form
    5,912.34/8,099.87 = 5,690.76/x
  3. Step 3: Cross multiply
    5,912.34x = 8,099.87 × 5,690.76
  4. Step 4: Simplify right side
    5,912.34x = 46,094,387.75
  5. Step 5: Solve for x
    x = 46,094,387.75/5,912.34
  6. Step 6: Final answer
    x = 7,796.30

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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.