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Finding the Fourth Proportional to 5,462.25, 8,191.30 and 1,951.60

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Solution

The fourth proportional to 5,462.25, 8,191.30 and 1,951.60 is: 2,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.25 : 8,191.30 = 1,951.60 : x
  2. Step 2: Convert to fraction form
    5,462.25/8,191.30 = 1,951.60/x
  3. Step 3: Cross multiply
    5,462.25x = 8,191.30 × 1,951.60
  4. Step 4: Simplify right side
    5,462.25x = 15,986,131.32
  5. Step 5: Solve for x
    x = 15,986,131.32/5,462.25
  6. Step 6: Final answer
    x = 2,926.66

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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.