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Finding the Fourth Proportional to 3,442.15, 5,163.22 and 845.06

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Solution

The fourth proportional to 3,442.15, 5,163.22 and 845.06 is: 1,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.15 : 5,163.22 = 845.06 : x
  2. Step 2: Convert to fraction form
    3,442.15/5,163.22 = 845.06/x
  3. Step 3: Cross multiply
    3,442.15x = 5,163.22 × 845.06
  4. Step 4: Simplify right side
    3,442.15x = 4,363,230.69
  5. Step 5: Solve for x
    x = 4,363,230.69/3,442.15
  6. Step 6: Final answer
    x = 1,267.59

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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.