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Finding the Fourth Proportional to 5,452.30, 8,171.97 and 2,986.66

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Solution

The fourth proportional to 5,452.30, 8,171.97 and 2,986.66 is: 4,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.30 : 8,171.97 = 2,986.66 : x
  2. Step 2: Convert to fraction form
    5,452.30/8,171.97 = 2,986.66/x
  3. Step 3: Cross multiply
    5,452.30x = 8,171.97 × 2,986.66
  4. Step 4: Simplify right side
    5,452.30x = 24,406,895.92
  5. Step 5: Solve for x
    x = 24,406,895.92/5,452.30
  6. Step 6: Final answer
    x = 4,476.44

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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.