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Finding the Fourth Proportional to 3,847.50, 5,767.20 and 2,748.60

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Solution

The fourth proportional to 3,847.50, 5,767.20 and 2,748.60 is: 4,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.50 : 5,767.20 = 2,748.60 : x
  2. Step 2: Convert to fraction form
    3,847.50/5,767.20 = 2,748.60/x
  3. Step 3: Cross multiply
    3,847.50x = 5,767.20 × 2,748.60
  4. Step 4: Simplify right side
    3,847.50x = 15,851,725.92
  5. Step 5: Solve for x
    x = 15,851,725.92/3,847.50
  6. Step 6: Final answer
    x = 4,120.01

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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.