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Finding the Fourth Proportional to 5,163.46, 7,745.48 and 1,465.40

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Solution

The fourth proportional to 5,163.46, 7,745.48 and 1,465.40 is: 2,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.46 : 7,745.48 = 1,465.40 : x
  2. Step 2: Convert to fraction form
    5,163.46/7,745.48 = 1,465.40/x
  3. Step 3: Cross multiply
    5,163.46x = 7,745.48 × 1,465.40
  4. Step 4: Simplify right side
    5,163.46x = 11,350,180.34
  5. Step 5: Solve for x
    x = 11,350,180.34/5,163.46
  6. Step 6: Final answer
    x = 2,198.17

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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.