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Finding the Fourth Proportional to 4,293.62, 6,441.73 and 1,796.02

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Solution

The fourth proportional to 4,293.62, 6,441.73 and 1,796.02 is: 2,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.62 : 6,441.73 = 1,796.02 : x
  2. Step 2: Convert to fraction form
    4,293.62/6,441.73 = 1,796.02/x
  3. Step 3: Cross multiply
    4,293.62x = 6,441.73 × 1,796.02
  4. Step 4: Simplify right side
    4,293.62x = 11,569,475.91
  5. Step 5: Solve for x
    x = 11,569,475.91/4,293.62
  6. Step 6: Final answer
    x = 2,694.57

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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.