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Finding the Fourth Proportional to 5,144.65, 7,099.64 and 2,786.78

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Solution

The fourth proportional to 5,144.65, 7,099.64 and 2,786.78 is: 3,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.65 : 7,099.64 = 2,786.78 : x
  2. Step 2: Convert to fraction form
    5,144.65/7,099.64 = 2,786.78/x
  3. Step 3: Cross multiply
    5,144.65x = 7,099.64 × 2,786.78
  4. Step 4: Simplify right side
    5,144.65x = 19,785,149.02
  5. Step 5: Solve for x
    x = 19,785,149.02/5,144.65
  6. Step 6: Final answer
    x = 3,845.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.