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Finding the Fourth Proportional to 3,576.82, 5,365.29 and 979.76

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Solution

The fourth proportional to 3,576.82, 5,365.29 and 979.76 is: 1,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.82 : 5,365.29 = 979.76 : x
  2. Step 2: Convert to fraction form
    3,576.82/5,365.29 = 979.76/x
  3. Step 3: Cross multiply
    3,576.82x = 5,365.29 × 979.76
  4. Step 4: Simplify right side
    3,576.82x = 5,256,696.53
  5. Step 5: Solve for x
    x = 5,256,696.53/3,576.82
  6. Step 6: Final answer
    x = 1,469.66

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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.