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Finding the Fourth Proportional to 3,163.69, 4,367.95 and 2,831.54

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Solution

The fourth proportional to 3,163.69, 4,367.95 and 2,831.54 is: 3,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.69 : 4,367.95 = 2,831.54 : x
  2. Step 2: Convert to fraction form
    3,163.69/4,367.95 = 2,831.54/x
  3. Step 3: Cross multiply
    3,163.69x = 4,367.95 × 2,831.54
  4. Step 4: Simplify right side
    3,163.69x = 12,368,010.99
  5. Step 5: Solve for x
    x = 12,368,010.99/3,163.69
  6. Step 6: Final answer
    x = 3,909.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.