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Finding the Fourth Proportional to 5,537.82, 7,640.24 and 3,652.94

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Solution

The fourth proportional to 5,537.82, 7,640.24 and 3,652.94 is: 5,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.82 : 7,640.24 = 3,652.94 : x
  2. Step 2: Convert to fraction form
    5,537.82/7,640.24 = 3,652.94/x
  3. Step 3: Cross multiply
    5,537.82x = 7,640.24 × 3,652.94
  4. Step 4: Simplify right side
    5,537.82x = 27,909,338.31
  5. Step 5: Solve for x
    x = 27,909,338.31/5,537.82
  6. Step 6: Final answer
    x = 5,039.77

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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.