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Finding the Fourth Proportional to 4,922.92, 7,385.34 and 2,731

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Solution

The fourth proportional to 4,922.92, 7,385.34 and 2,731 is: 4,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.92 : 7,385.34 = 2,731 : x
  2. Step 2: Convert to fraction form
    4,922.92/7,385.34 = 2,731/x
  3. Step 3: Cross multiply
    4,922.92x = 7,385.34 × 2,731
  4. Step 4: Simplify right side
    4,922.92x = 20,169,363.54
  5. Step 5: Solve for x
    x = 20,169,363.54/4,922.92
  6. Step 6: Final answer
    x = 4,097.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.