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Finding the Fourth Proportional to 3,850.50, 5,775.60 and 2,184.60

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Solution

The fourth proportional to 3,850.50, 5,775.60 and 2,184.60 is: 3,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.50 : 5,775.60 = 2,184.60 : x
  2. Step 2: Convert to fraction form
    3,850.50/5,775.60 = 2,184.60/x
  3. Step 3: Cross multiply
    3,850.50x = 5,775.60 × 2,184.60
  4. Step 4: Simplify right side
    3,850.50x = 12,617,375.76
  5. Step 5: Solve for x
    x = 12,617,375.76/3,850.50
  6. Step 6: Final answer
    x = 3,276.81

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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.