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Finding the Fourth Proportional to 3,855.26, 5,792.40 and 2,469.20

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Solution

The fourth proportional to 3,855.26, 5,792.40 and 2,469.20 is: 3,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.26 : 5,792.40 = 2,469.20 : x
  2. Step 2: Convert to fraction form
    3,855.26/5,792.40 = 2,469.20/x
  3. Step 3: Cross multiply
    3,855.26x = 5,792.40 × 2,469.20
  4. Step 4: Simplify right side
    3,855.26x = 14,302,565.12
  5. Step 5: Solve for x
    x = 14,302,565.12/3,855.26
  6. Step 6: Final answer
    x = 3,709.89

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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.