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Finding the Fourth Proportional to 5,163.45, 7,745.86 and 1,877.48

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Solution

The fourth proportional to 5,163.45, 7,745.86 and 1,877.48 is: 2,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.45 : 7,745.86 = 1,877.48 : x
  2. Step 2: Convert to fraction form
    5,163.45/7,745.86 = 1,877.48/x
  3. Step 3: Cross multiply
    5,163.45x = 7,745.86 × 1,877.48
  4. Step 4: Simplify right side
    5,163.45x = 14,542,689.90
  5. Step 5: Solve for x
    x = 14,542,689.90/5,163.45
  6. Step 6: Final answer
    x = 2,816.47

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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.