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Finding the Fourth Proportional to 5,189.84, 7,162 and 2,831.96

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Solution

The fourth proportional to 5,189.84, 7,162 and 2,831.96 is: 3,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.84 : 7,162 = 2,831.96 : x
  2. Step 2: Convert to fraction form
    5,189.84/7,162 = 2,831.96/x
  3. Step 3: Cross multiply
    5,189.84x = 7,162 × 2,831.96
  4. Step 4: Simplify right side
    5,189.84x = 20,282,497.52
  5. Step 5: Solve for x
    x = 20,282,497.52/5,189.84
  6. Step 6: Final answer
    x = 3,908.12

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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.