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Finding the Fourth Proportional to 5,576.25, 7,696.31 and 3,687.94

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Solution

The fourth proportional to 5,576.25, 7,696.31 and 3,687.94 is: 5,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.25 : 7,696.31 = 3,687.94 : x
  2. Step 2: Convert to fraction form
    5,576.25/7,696.31 = 3,687.94/x
  3. Step 3: Cross multiply
    5,576.25x = 7,696.31 × 3,687.94
  4. Step 4: Simplify right side
    5,576.25x = 28,383,529.50
  5. Step 5: Solve for x
    x = 28,383,529.50/5,576.25
  6. Step 6: Final answer
    x = 5,090.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.