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Finding the Fourth Proportional to 3,952.26, 5,924.88 and 2,217.24

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Solution

The fourth proportional to 3,952.26, 5,924.88 and 2,217.24 is: 3,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.26 : 5,924.88 = 2,217.24 : x
  2. Step 2: Convert to fraction form
    3,952.26/5,924.88 = 2,217.24/x
  3. Step 3: Cross multiply
    3,952.26x = 5,924.88 × 2,217.24
  4. Step 4: Simplify right side
    3,952.26x = 13,136,880.93
  5. Step 5: Solve for x
    x = 13,136,880.93/3,952.26
  6. Step 6: Final answer
    x = 3,323.89

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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.