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Finding the Fourth Proportional to 6,408.51, 9,601.82 and 3,481.57

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Solution

The fourth proportional to 6,408.51, 9,601.82 and 3,481.57 is: 5,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.51 : 9,601.82 = 3,481.57 : x
  2. Step 2: Convert to fraction form
    6,408.51/9,601.82 = 3,481.57/x
  3. Step 3: Cross multiply
    6,408.51x = 9,601.82 × 3,481.57
  4. Step 4: Simplify right side
    6,408.51x = 33,429,408.46
  5. Step 5: Solve for x
    x = 33,429,408.46/6,408.51
  6. Step 6: Final answer
    x = 5,216.41

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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.