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Finding the Fourth Proportional to 3,163.96, 4,745.96 and 2,075.24

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Solution

The fourth proportional to 3,163.96, 4,745.96 and 2,075.24 is: 3,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.96 : 4,745.96 = 2,075.24 : x
  2. Step 2: Convert to fraction form
    3,163.96/4,745.96 = 2,075.24/x
  3. Step 3: Cross multiply
    3,163.96x = 4,745.96 × 2,075.24
  4. Step 4: Simplify right side
    3,163.96x = 9,849,006.03
  5. Step 5: Solve for x
    x = 9,849,006.03/3,163.96
  6. Step 6: Final answer
    x = 3,112.87

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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.