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Finding the Fourth Proportional to 3,162.64, 4,745.94 and 2,186.92

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Solution

The fourth proportional to 3,162.64, 4,745.94 and 2,186.92 is: 3,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.64 : 4,745.94 = 2,186.92 : x
  2. Step 2: Convert to fraction form
    3,162.64/4,745.94 = 2,186.92/x
  3. Step 3: Cross multiply
    3,162.64x = 4,745.94 × 2,186.92
  4. Step 4: Simplify right side
    3,162.64x = 10,378,991.10
  5. Step 5: Solve for x
    x = 10,378,991.10/3,162.64
  6. Step 6: Final answer
    x = 3,281.75

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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.