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Finding the Fourth Proportional to 5,674.75, 7,831.16 and 3,190.75

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Solution

The fourth proportional to 5,674.75, 7,831.16 and 3,190.75 is: 4,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.75 : 7,831.16 = 3,190.75 : x
  2. Step 2: Convert to fraction form
    5,674.75/7,831.16 = 3,190.75/x
  3. Step 3: Cross multiply
    5,674.75x = 7,831.16 × 3,190.75
  4. Step 4: Simplify right side
    5,674.75x = 24,987,257.82
  5. Step 5: Solve for x
    x = 24,987,257.82/5,674.75
  6. Step 6: Final answer
    x = 4,403.24

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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.