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Finding the Fourth Proportional to 5,976.16, 8,250.78 and 3,852.43

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Solution

The fourth proportional to 5,976.16, 8,250.78 and 3,852.43 is: 5,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.16 : 8,250.78 = 3,852.43 : x
  2. Step 2: Convert to fraction form
    5,976.16/8,250.78 = 3,852.43/x
  3. Step 3: Cross multiply
    5,976.16x = 8,250.78 × 3,852.43
  4. Step 4: Simplify right side
    5,976.16x = 31,785,552.40
  5. Step 5: Solve for x
    x = 31,785,552.40/5,976.16
  6. Step 6: Final answer
    x = 5,318.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.