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Finding the Fourth Proportional to 3,537.84, 4,882.26 and 1,944.57

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Solution

The fourth proportional to 3,537.84, 4,882.26 and 1,944.57 is: 2,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.84 : 4,882.26 = 1,944.57 : x
  2. Step 2: Convert to fraction form
    3,537.84/4,882.26 = 1,944.57/x
  3. Step 3: Cross multiply
    3,537.84x = 4,882.26 × 1,944.57
  4. Step 4: Simplify right side
    3,537.84x = 9,493,896.33
  5. Step 5: Solve for x
    x = 9,493,896.33/3,537.84
  6. Step 6: Final answer
    x = 2,683.53

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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.