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Finding the Fourth Proportional to 3,952.24, 5,918.22 and 3,835.42

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Solution

The fourth proportional to 3,952.24, 5,918.22 and 3,835.42 is: 5,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.24 : 5,918.22 = 3,835.42 : x
  2. Step 2: Convert to fraction form
    3,952.24/5,918.22 = 3,835.42/x
  3. Step 3: Cross multiply
    3,952.24x = 5,918.22 × 3,835.42
  4. Step 4: Simplify right side
    3,952.24x = 22,698,859.35
  5. Step 5: Solve for x
    x = 22,698,859.35/3,952.24
  6. Step 6: Final answer
    x = 5,743.29

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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.