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Finding the Fourth Proportional to 5,260.80, 7,896.72 and 3,186

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Solution

The fourth proportional to 5,260.80, 7,896.72 and 3,186 is: 4,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.80 : 7,896.72 = 3,186 : x
  2. Step 2: Convert to fraction form
    5,260.80/7,896.72 = 3,186/x
  3. Step 3: Cross multiply
    5,260.80x = 7,896.72 × 3,186
  4. Step 4: Simplify right side
    5,260.80x = 25,158,949.92
  5. Step 5: Solve for x
    x = 25,158,949.92/5,260.80
  6. Step 6: Final answer
    x = 4,782.34

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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.