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Finding the Fourth Proportional to 3,752.60, 5,629.40 and 1,286.80

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Solution

The fourth proportional to 3,752.60, 5,629.40 and 1,286.80 is: 1,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.60 : 5,629.40 = 1,286.80 : x
  2. Step 2: Convert to fraction form
    3,752.60/5,629.40 = 1,286.80/x
  3. Step 3: Cross multiply
    3,752.60x = 5,629.40 × 1,286.80
  4. Step 4: Simplify right side
    3,752.60x = 7,243,911.92
  5. Step 5: Solve for x
    x = 7,243,911.92/3,752.60
  6. Step 6: Final answer
    x = 1,930.37

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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.