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Finding the Fourth Proportional to 5,960.82, 8,218.92 and 4,838.22

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Solution

The fourth proportional to 5,960.82, 8,218.92 and 4,838.22 is: 6,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.82 : 8,218.92 = 4,838.22 : x
  2. Step 2: Convert to fraction form
    5,960.82/8,218.92 = 4,838.22/x
  3. Step 3: Cross multiply
    5,960.82x = 8,218.92 × 4,838.22
  4. Step 4: Simplify right side
    5,960.82x = 39,764,943.12
  5. Step 5: Solve for x
    x = 39,764,943.12/5,960.82
  6. Step 6: Final answer
    x = 6,671.05

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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.