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Finding the Fourth Proportional to 3,753.20, 5,629.80 and 1,287.80

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Solution

The fourth proportional to 3,753.20, 5,629.80 and 1,287.80 is: 1,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.20 : 5,629.80 = 1,287.80 : x
  2. Step 2: Convert to fraction form
    3,753.20/5,629.80 = 1,287.80/x
  3. Step 3: Cross multiply
    3,753.20x = 5,629.80 × 1,287.80
  4. Step 4: Simplify right side
    3,753.20x = 7,250,056.44
  5. Step 5: Solve for x
    x = 7,250,056.44/3,753.20
  6. Step 6: Final answer
    x = 1,931.70

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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.