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Finding the Fourth Proportional to 4,049.29, 6,072.76 and 1,709.82

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Solution

The fourth proportional to 4,049.29, 6,072.76 and 1,709.82 is: 2,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.29 : 6,072.76 = 1,709.82 : x
  2. Step 2: Convert to fraction form
    4,049.29/6,072.76 = 1,709.82/x
  3. Step 3: Cross multiply
    4,049.29x = 6,072.76 × 1,709.82
  4. Step 4: Simplify right side
    4,049.29x = 10,383,319.02
  5. Step 5: Solve for x
    x = 10,383,319.02/4,049.29
  6. Step 6: Final answer
    x = 2,564.23

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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.