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Finding the Fourth Proportional to 5,992.92, 8,261.19 and 4,311.36

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Solution

The fourth proportional to 5,992.92, 8,261.19 and 4,311.36 is: 5,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.92 : 8,261.19 = 4,311.36 : x
  2. Step 2: Convert to fraction form
    5,992.92/8,261.19 = 4,311.36/x
  3. Step 3: Cross multiply
    5,992.92x = 8,261.19 × 4,311.36
  4. Step 4: Simplify right side
    5,992.92x = 35,616,964.12
  5. Step 5: Solve for x
    x = 35,616,964.12/5,992.92
  6. Step 6: Final answer
    x = 5,943.17

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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.