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Finding the Fourth Proportional to 5,047.08, 6,963.90 and 3,183

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Solution

The fourth proportional to 5,047.08, 6,963.90 and 3,183 is: 4,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.08 : 6,963.90 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,047.08/6,963.90 = 3,183/x
  3. Step 3: Cross multiply
    5,047.08x = 6,963.90 × 3,183
  4. Step 4: Simplify right side
    5,047.08x = 22,166,093.70
  5. Step 5: Solve for x
    x = 22,166,093.70/5,047.08
  6. Step 6: Final answer
    x = 4,391.86

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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.