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Finding the Fourth Proportional to 5,472, 8,212.48 and 3,831.84

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Solution

The fourth proportional to 5,472, 8,212.48 and 3,831.84 is: 5,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 8,212.48 = 3,831.84 : x
  2. Step 2: Convert to fraction form
    5,472/8,212.48 = 3,831.84/x
  3. Step 3: Cross multiply
    5,472x = 8,212.48 × 3,831.84
  4. Step 4: Simplify right side
    5,472x = 31,468,909.36
  5. Step 5: Solve for x
    x = 31,468,909.36/5,472
  6. Step 6: Final answer
    x = 5,750.90

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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.