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Finding the Fourth Proportional to 6,190.74, 9,282.06 and 2,857.62

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Solution

The fourth proportional to 6,190.74, 9,282.06 and 2,857.62 is: 4,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.74 : 9,282.06 = 2,857.62 : x
  2. Step 2: Convert to fraction form
    6,190.74/9,282.06 = 2,857.62/x
  3. Step 3: Cross multiply
    6,190.74x = 9,282.06 × 2,857.62
  4. Step 4: Simplify right side
    6,190.74x = 26,524,600.30
  5. Step 5: Solve for x
    x = 26,524,600.30/6,190.74
  6. Step 6: Final answer
    x = 4,284.56

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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.