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Finding the Fourth Proportional to 3,766.43, 5,191.18 and 2,505.23

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Solution

The fourth proportional to 3,766.43, 5,191.18 and 2,505.23 is: 3,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.43 : 5,191.18 = 2,505.23 : x
  2. Step 2: Convert to fraction form
    3,766.43/5,191.18 = 2,505.23/x
  3. Step 3: Cross multiply
    3,766.43x = 5,191.18 × 2,505.23
  4. Step 4: Simplify right side
    3,766.43x = 13,005,101.21
  5. Step 5: Solve for x
    x = 13,005,101.21/3,766.43
  6. Step 6: Final answer
    x = 3,452.90

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