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Finding the Fourth Proportional to 3,751.93, 5,624.41 and 1,286.16

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Solution

The fourth proportional to 3,751.93, 5,624.41 and 1,286.16 is: 1,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.93 : 5,624.41 = 1,286.16 : x
  2. Step 2: Convert to fraction form
    3,751.93/5,624.41 = 1,286.16/x
  3. Step 3: Cross multiply
    3,751.93x = 5,624.41 × 1,286.16
  4. Step 4: Simplify right side
    3,751.93x = 7,233,891.17
  5. Step 5: Solve for x
    x = 7,233,891.17/3,751.93
  6. Step 6: Final answer
    x = 1,928.05

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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.