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Finding the Fourth Proportional to 5,191.20, 7,786.98 and 1,295.82

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Solution

The fourth proportional to 5,191.20, 7,786.98 and 1,295.82 is: 1,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.20 : 7,786.98 = 1,295.82 : x
  2. Step 2: Convert to fraction form
    5,191.20/7,786.98 = 1,295.82/x
  3. Step 3: Cross multiply
    5,191.20x = 7,786.98 × 1,295.82
  4. Step 4: Simplify right side
    5,191.20x = 10,090,524.42
  5. Step 5: Solve for x
    x = 10,090,524.42/5,191.20
  6. Step 6: Final answer
    x = 1,943.77

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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.