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Finding the Fourth Proportional to 5,272.84, 7,910.91 and 3,166.84

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Solution

The fourth proportional to 5,272.84, 7,910.91 and 3,166.84 is: 4,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.84 : 7,910.91 = 3,166.84 : x
  2. Step 2: Convert to fraction form
    5,272.84/7,910.91 = 3,166.84/x
  3. Step 3: Cross multiply
    5,272.84x = 7,910.91 × 3,166.84
  4. Step 4: Simplify right side
    5,272.84x = 25,052,586.22
  5. Step 5: Solve for x
    x = 25,052,586.22/5,272.84
  6. Step 6: Final answer
    x = 4,751.25

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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.