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Finding the Fourth Proportional to 5,272.74, 7,890.82 and 3,191.48

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Solution

The fourth proportional to 5,272.74, 7,890.82 and 3,191.48 is: 4,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.74 : 7,890.82 = 3,191.48 : x
  2. Step 2: Convert to fraction form
    5,272.74/7,890.82 = 3,191.48/x
  3. Step 3: Cross multiply
    5,272.74x = 7,890.82 × 3,191.48
  4. Step 4: Simplify right side
    5,272.74x = 25,183,394.21
  5. Step 5: Solve for x
    x = 25,183,394.21/5,272.74
  6. Step 6: Final answer
    x = 4,776.15

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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.