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Finding the Fourth Proportional to 4,537.26, 6,257.79 and 3,749.94

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Solution

The fourth proportional to 4,537.26, 6,257.79 and 3,749.94 is: 5,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.26 : 6,257.79 = 3,749.94 : x
  2. Step 2: Convert to fraction form
    4,537.26/6,257.79 = 3,749.94/x
  3. Step 3: Cross multiply
    4,537.26x = 6,257.79 × 3,749.94
  4. Step 4: Simplify right side
    4,537.26x = 23,466,337.03
  5. Step 5: Solve for x
    x = 23,466,337.03/4,537.26
  6. Step 6: Final answer
    x = 5,171.92

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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.