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Finding the Fourth Proportional to 6,533.70, 9,792.24 and 2,831.59

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Solution

The fourth proportional to 6,533.70, 9,792.24 and 2,831.59 is: 4,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.70 : 9,792.24 = 2,831.59 : x
  2. Step 2: Convert to fraction form
    6,533.70/9,792.24 = 2,831.59/x
  3. Step 3: Cross multiply
    6,533.70x = 9,792.24 × 2,831.59
  4. Step 4: Simplify right side
    6,533.70x = 27,727,608.86
  5. Step 5: Solve for x
    x = 27,727,608.86/6,533.70
  6. Step 6: Final answer
    x = 4,243.78

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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.