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Finding the Fourth Proportional to 6,151.57, 9,232.28 and 3,190.86

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Solution

The fourth proportional to 6,151.57, 9,232.28 and 3,190.86 is: 4,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.57 : 9,232.28 = 3,190.86 : x
  2. Step 2: Convert to fraction form
    6,151.57/9,232.28 = 3,190.86/x
  3. Step 3: Cross multiply
    6,151.57x = 9,232.28 × 3,190.86
  4. Step 4: Simplify right side
    6,151.57x = 29,458,912.96
  5. Step 5: Solve for x
    x = 29,458,912.96/6,151.57
  6. Step 6: Final answer
    x = 4,788.84

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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.