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Finding the Fourth Proportional to 3,806.72, 5,709.73 and 1,341.41

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Solution

The fourth proportional to 3,806.72, 5,709.73 and 1,341.41 is: 2,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.72 : 5,709.73 = 1,341.41 : x
  2. Step 2: Convert to fraction form
    3,806.72/5,709.73 = 1,341.41/x
  3. Step 3: Cross multiply
    3,806.72x = 5,709.73 × 1,341.41
  4. Step 4: Simplify right side
    3,806.72x = 7,659,088.92
  5. Step 5: Solve for x
    x = 7,659,088.92/3,806.72
  6. Step 6: Final answer
    x = 2,011.99

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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.