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Finding the Fourth Proportional to 5,963.92, 8,222.61 and 4,264.42

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Solution

The fourth proportional to 5,963.92, 8,222.61 and 4,264.42 is: 5,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.92 : 8,222.61 = 4,264.42 : x
  2. Step 2: Convert to fraction form
    5,963.92/8,222.61 = 4,264.42/x
  3. Step 3: Cross multiply
    5,963.92x = 8,222.61 × 4,264.42
  4. Step 4: Simplify right side
    5,963.92x = 35,064,662.54
  5. Step 5: Solve for x
    x = 35,064,662.54/5,963.92
  6. Step 6: Final answer
    x = 5,879.47

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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.