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Finding the Fourth Proportional to 4,871.97, 7,302.74 and 3,481.09

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Solution

The fourth proportional to 4,871.97, 7,302.74 and 3,481.09 is: 5,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.97 : 7,302.74 = 3,481.09 : x
  2. Step 2: Convert to fraction form
    4,871.97/7,302.74 = 3,481.09/x
  3. Step 3: Cross multiply
    4,871.97x = 7,302.74 × 3,481.09
  4. Step 4: Simplify right side
    4,871.97x = 25,421,459.52
  5. Step 5: Solve for x
    x = 25,421,459.52/4,871.97
  6. Step 6: Final answer
    x = 5,217.90

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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.