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Finding the Fourth Proportional to 3,782.13, 5,672.17 and 2,393.38

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Solution

The fourth proportional to 3,782.13, 5,672.17 and 2,393.38 is: 3,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.13 : 5,672.17 = 2,393.38 : x
  2. Step 2: Convert to fraction form
    3,782.13/5,672.17 = 2,393.38/x
  3. Step 3: Cross multiply
    3,782.13x = 5,672.17 × 2,393.38
  4. Step 4: Simplify right side
    3,782.13x = 13,575,658.23
  5. Step 5: Solve for x
    x = 13,575,658.23/3,782.13
  6. Step 6: Final answer
    x = 3,589.42

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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.