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Finding the Fourth Proportional to 5,146.92, 7,096.31 and 4,201.76

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Solution

The fourth proportional to 5,146.92, 7,096.31 and 4,201.76 is: 5,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.92 : 7,096.31 = 4,201.76 : x
  2. Step 2: Convert to fraction form
    5,146.92/7,096.31 = 4,201.76/x
  3. Step 3: Cross multiply
    5,146.92x = 7,096.31 × 4,201.76
  4. Step 4: Simplify right side
    5,146.92x = 29,816,935.02
  5. Step 5: Solve for x
    x = 29,816,935.02/5,146.92
  6. Step 6: Final answer
    x = 5,793.16

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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.