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Finding the Fourth Proportional to 3,766.18, 5,197.53 and 2,194.18

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Solution

The fourth proportional to 3,766.18, 5,197.53 and 2,194.18 is: 3,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.18 : 5,197.53 = 2,194.18 : x
  2. Step 2: Convert to fraction form
    3,766.18/5,197.53 = 2,194.18/x
  3. Step 3: Cross multiply
    3,766.18x = 5,197.53 × 2,194.18
  4. Step 4: Simplify right side
    3,766.18x = 11,404,316.38
  5. Step 5: Solve for x
    x = 11,404,316.38/3,766.18
  6. Step 6: Final answer
    x = 3,028.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.