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Finding the Fourth Proportional to 5,288.92, 7,298.96 and 3,193

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Solution

The fourth proportional to 5,288.92, 7,298.96 and 3,193 is: 4,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.92 : 7,298.96 = 3,193 : x
  2. Step 2: Convert to fraction form
    5,288.92/7,298.96 = 3,193/x
  3. Step 3: Cross multiply
    5,288.92x = 7,298.96 × 3,193
  4. Step 4: Simplify right side
    5,288.92x = 23,305,579.28
  5. Step 5: Solve for x
    x = 23,305,579.28/5,288.92
  6. Step 6: Final answer
    x = 4,406.49

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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.