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Finding the Fourth Proportional to 3,751.13, 5,628.32 and 1,286.30

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Solution

The fourth proportional to 3,751.13, 5,628.32 and 1,286.30 is: 1,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.13 : 5,628.32 = 1,286.30 : x
  2. Step 2: Convert to fraction form
    3,751.13/5,628.32 = 1,286.30/x
  3. Step 3: Cross multiply
    3,751.13x = 5,628.32 × 1,286.30
  4. Step 4: Simplify right side
    3,751.13x = 7,239,708.02
  5. Step 5: Solve for x
    x = 7,239,708.02/3,751.13
  6. Step 6: Final answer
    x = 1,930.01

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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.