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Finding the Fourth Proportional to 3,885.85, 5,820.55 and 3,142.27

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Solution

The fourth proportional to 3,885.85, 5,820.55 and 3,142.27 is: 4,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.85 : 5,820.55 = 3,142.27 : x
  2. Step 2: Convert to fraction form
    3,885.85/5,820.55 = 3,142.27/x
  3. Step 3: Cross multiply
    3,885.85x = 5,820.55 × 3,142.27
  4. Step 4: Simplify right side
    3,885.85x = 18,289,739.65
  5. Step 5: Solve for x
    x = 18,289,739.65/3,885.85
  6. Step 6: Final answer
    x = 4,706.75

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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.