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Finding the Fourth Proportional to 5,002.92, 6,906.76 and 3,013.96

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Solution

The fourth proportional to 5,002.92, 6,906.76 and 3,013.96 is: 4,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.92 : 6,906.76 = 3,013.96 : x
  2. Step 2: Convert to fraction form
    5,002.92/6,906.76 = 3,013.96/x
  3. Step 3: Cross multiply
    5,002.92x = 6,906.76 × 3,013.96
  4. Step 4: Simplify right side
    5,002.92x = 20,816,698.37
  5. Step 5: Solve for x
    x = 20,816,698.37/5,002.92
  6. Step 6: Final answer
    x = 4,160.91

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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.