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Finding the Fourth Proportional to 3,442.20, 5,163.32 and 845.16

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Solution

The fourth proportional to 3,442.20, 5,163.32 and 845.16 is: 1,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.20 : 5,163.32 = 845.16 : x
  2. Step 2: Convert to fraction form
    3,442.20/5,163.32 = 845.16/x
  3. Step 3: Cross multiply
    3,442.20x = 5,163.32 × 845.16
  4. Step 4: Simplify right side
    3,442.20x = 4,363,831.53
  5. Step 5: Solve for x
    x = 4,363,831.53/3,442.20
  6. Step 6: Final answer
    x = 1,267.74

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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.