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Finding the Fourth Proportional to 5,149.67, 7,727.67 and 2,376.72

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Solution

The fourth proportional to 5,149.67, 7,727.67 and 2,376.72 is: 3,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.67 : 7,727.67 = 2,376.72 : x
  2. Step 2: Convert to fraction form
    5,149.67/7,727.67 = 2,376.72/x
  3. Step 3: Cross multiply
    5,149.67x = 7,727.67 × 2,376.72
  4. Step 4: Simplify right side
    5,149.67x = 18,366,507.84
  5. Step 5: Solve for x
    x = 18,366,507.84/5,149.67
  6. Step 6: Final answer
    x = 3,566.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.