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Finding the Fourth Proportional to 3,855.45, 5,783.18 and 2,469.44

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Solution

The fourth proportional to 3,855.45, 5,783.18 and 2,469.44 is: 3,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.45 : 5,783.18 = 2,469.44 : x
  2. Step 2: Convert to fraction form
    3,855.45/5,783.18 = 2,469.44/x
  3. Step 3: Cross multiply
    3,855.45x = 5,783.18 × 2,469.44
  4. Step 4: Simplify right side
    3,855.45x = 14,281,216.02
  5. Step 5: Solve for x
    x = 14,281,216.02/3,855.45
  6. Step 6: Final answer
    x = 3,704.16

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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.