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Finding the Fourth Proportional to 4,660.56, 6,990.84 and 3,195.27

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Solution

The fourth proportional to 4,660.56, 6,990.84 and 3,195.27 is: 4,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.56 : 6,990.84 = 3,195.27 : x
  2. Step 2: Convert to fraction form
    4,660.56/6,990.84 = 3,195.27/x
  3. Step 3: Cross multiply
    4,660.56x = 6,990.84 × 3,195.27
  4. Step 4: Simplify right side
    4,660.56x = 22,337,621.33
  5. Step 5: Solve for x
    x = 22,337,621.33/4,660.56
  6. Step 6: Final answer
    x = 4,792.91

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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.