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Finding the Fourth Proportional to 5,221.69, 7,205.96 and 2,831.69

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Solution

The fourth proportional to 5,221.69, 7,205.96 and 2,831.69 is: 3,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.69 : 7,205.96 = 2,831.69 : x
  2. Step 2: Convert to fraction form
    5,221.69/7,205.96 = 2,831.69/x
  3. Step 3: Cross multiply
    5,221.69x = 7,205.96 × 2,831.69
  4. Step 4: Simplify right side
    5,221.69x = 20,405,069.97
  5. Step 5: Solve for x
    x = 20,405,069.97/5,221.69
  6. Step 6: Final answer
    x = 3,907.75

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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.