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Finding the Fourth Proportional to 3,506.27, 5,260.82 and 3,450.99

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Solution

The fourth proportional to 3,506.27, 5,260.82 and 3,450.99 is: 5,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.27 : 5,260.82 = 3,450.99 : x
  2. Step 2: Convert to fraction form
    3,506.27/5,260.82 = 3,450.99/x
  3. Step 3: Cross multiply
    3,506.27x = 5,260.82 × 3,450.99
  4. Step 4: Simplify right side
    3,506.27x = 18,155,037.21
  5. Step 5: Solve for x
    x = 18,155,037.21/3,506.27
  6. Step 6: Final answer
    x = 5,177.88

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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.