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Finding the Fourth Proportional to 5,163.58, 7,748.43 and 1,876.92

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Solution

The fourth proportional to 5,163.58, 7,748.43 and 1,876.92 is: 2,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.58 : 7,748.43 = 1,876.92 : x
  2. Step 2: Convert to fraction form
    5,163.58/7,748.43 = 1,876.92/x
  3. Step 3: Cross multiply
    5,163.58x = 7,748.43 × 1,876.92
  4. Step 4: Simplify right side
    5,163.58x = 14,543,183.24
  5. Step 5: Solve for x
    x = 14,543,183.24/5,163.58
  6. Step 6: Final answer
    x = 2,816.49

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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.