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Finding the Fourth Proportional to 3,561.28, 5,343 and 1,831.12

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Solution

The fourth proportional to 3,561.28, 5,343 and 1,831.12 is: 2,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.28 : 5,343 = 1,831.12 : x
  2. Step 2: Convert to fraction form
    3,561.28/5,343 = 1,831.12/x
  3. Step 3: Cross multiply
    3,561.28x = 5,343 × 1,831.12
  4. Step 4: Simplify right side
    3,561.28x = 9,783,674.16
  5. Step 5: Solve for x
    x = 9,783,674.16/3,561.28
  6. Step 6: Final answer
    x = 2,747.24

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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.